Answered: The entry fee at a small fair is $1.50…

The entry fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5000 is collected. How many children entered the fair?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 58SE: At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child's ticket...

See similar textbooks

Related questions

Q: A woman bought some large frames for $14 each and some small frames for $6 each at a closeout sale.…

A: Let the number of large frames be x and the number of small frames be y, thenAccording to question,…

Q: In a jar of 33 coins, consisting of only pennies and nickels, there are one half as many nickels as…

A: Given a jar of 33 coins, consisting of only pennies and nickels and there are one half as many…

Q: A collection of 27 coins consisting of nickels and dimes amounts to $2.25. How many coins of each…

A: Let there are x nickels and (27-x) dimes. 1 nickel= $0.05 x nickels= 0.05x 1 dime= $0.10 (27-x)…

Q: If Trey has 13 quarters and dimes in his pocket, and they have a combined value of 265 cents, how…

A: Given: There are 13 coins in a tray combined with a dime and quarters and 265 cents combined with…

Q: A movie theater has a seating capacity of 243. The theater charges $5.00 for children, $7.00 for…

A: From the given information, it is observed that, Total seating capacity of theater = 243 Theater…

Q: A movie theater has a seating capacity of 269. The theater charges $5.00 for children, $7.00 for…

A: Let the total number of children attended be c. Let the total number of students attended be s. Let…

Q: A movie theater has a seating capacity of 195. The theater charges $5.00 for children, $7.00 for…

Q: There were 130 faculty at a conference. If there were 18 more women than men attending, how many of…

A: let number of men =x and number of women =y

Q: The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200…

Q: Bob has 18 coins totaling $1.50. If he only has dimes and nickels, how many of each coin does he…

A: It is known that, dime value = 10 cents, and Nickel value = 5 cents.$1.50 = 150 cents.Let x be the…

Q: Tickets for a high school play cost $12.50 for adults and $6.25 for students. If all 200 seats in…

A: Given that Tickets for a high school play cost $12.50 for adults and $6.25 for students. If all…

Q: The Concordia Theatre contains 500 seats, and the ticket prices for a recent play were $43 for…

A: To Determine: how many of each type of ticket were sold? Given: The Concordia Theatre contains 500…

Q: The admission fee at an amusement park is $1.75 for children and $6.20 for adults. On a certain day,…

Q: An airline flies from Manila to Davao, with a stopover in cebu. It charges a fare of 1,800.00 Manila…

A: let the Passengers to Cebu be x and the passengers to Davao be y. Total number of passengers are…

Q: If Kevin has 11 quarters and nickels in his pocket, and they have a combined value of 155 cents, how…

A: Given problem is : If Kevin has 11 quarters and nickels in his pocket, and they have a combined…

Q: Santa assigned Mrs. Claus four hours of housework, and Rudolph gave her five hours of outside work.…

A: Santa assigned Mrs. Claus four hours of housework, and Rudolph gave her five hours of outside work.…

Q: A man has 16 coins in his pocket, all of which are dimes and quarters. If the total value of his…

Q: A man has 22 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Given: A total number of coins= 22 (contains dimes and quarters). The total value of change= 385…

Q: Erasers are on sale for 45 cents each. Pencils are on sale for 40 cents each. Shirley buys 23…

A: It is given that the cost of an eraser is 45 cents and the cost of a pencil is 40 cents. Shirley…

Q: If Laura has 3 more quarters than nickels and they have a combined value of 255 cents, how many of…

Q: A concert promoter needs to make $760,000 from the sale of 16,000 tickets. The promoter charges $40…

Q: A woman bought some large frames for $16 each and some small frames for $5 each at a closeout…

Q: If Julio has 14 quarters and nickels in his pocket, and they have a combined value of 230 cents, how…

A: Given, Julio has 14 quarters and nickels in his pocket. combined value of quarters and nickels is…

Q: The admission fee at an amusement park is $4.00 for children and $6.20 for adults. On a certain day,…

Q: A woman bought some large frames for $18 each and some small frames for $6 each at a closeout sale.…

Q: An electronics store sells seven times as many printers as fax machines. If sales for the month…

A: Given: 1600 pieces were sold Let xbe the number of fax machine sold. Let 7x be the number of…

Q: A movie theater has a seating capacity of 261. The theater charges $5.00 for children, $7.00 for…

A: Given seat capacity=261Total tickets=$1886Charges is as…

Q: The price of a new car is $29,990. If the sales tax rate is 6%, then how much sales tax is being…

A: The price of a new car is $29,990 , The sales tax rate is 6%

Q: If Kevin has 11 quarters and nickels in his pocket, and they have a combined value of 155 cents, how…

A: let x be the number of quarters and y be the number if nickels. given the total is 11 coins…

Q: A jazz concert brought in $119,000 on the sale of 7,700 tickets. If the tickets sold for $10 and $20…

A: Given query is to find the number of each type of tickets sold

Q: A restaurant sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and…

A: Let the number of hotdogs and hamburgers sold be x & y respectively

Q: How many children and how many adults attended?

Q: An airline that flies from Los Angeles to Albuquerque with a stopover in Phoenix charges a fare of…

A: To find: The number of passenger got off the plane in phoenix. Given: The total number of passenger…

Q: You invested $5000between two accounts paying 7% and 9% annual interest, respectively. If the total…

A: Let x amount is invested in 7% and 5000-x amount is invested in 9%

Q: A movie theater has a seating capacity of 167. The theater charges $5.00 for children, $7.00 for…

A: Let there are x adults in the theater. Since there are half as many adults as there are children, so…

Q: If Darius has 13 quarters and dimes in his pocket, and they have a combined value of 190 cents, how…

A: Let the number of quarters = x and number of dimes=y.

Q: The admission fee at an amusement park is $3.75 for children and $6.00 for adults. On a certain day,…

A: Let the number of children be cAnd the number of adults be aSo the total number of persons is c+aBut…

Q: A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Let d be the number of the man has and let q be the number of quarts ha has. Since he has 14 coins…

Q: A man has 21 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Given, A man has 21 coins in his pocket, all of which are dimes and quarters. The total…

Q: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily. If each page has about 12…

A: Laney prints 336 pictures for a scrapbook and 126 of them are with Lily.

Q: If a person high jumps 6 feet 2 inches, how many inches is the jump?

Q: The admission fee in an amusement park is three dollars per children and six dollars per adult. On a…

A: The admission fee in an amusement park is three dollars per children and six dollars per adult. On a…

Q: If Antonio has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how…

Q: a man has 11 coins in his pocket, all of which are dimes and quarters. If the total value of his…

Q: At a skating rink, children pay $1.25 admission and adults pay $2.50. For one night, the receipts…

Q: The band is holding a raffle this year and will give away four cash prizes of $100, $500, $1000, and…

A: Find your answer below

Q: A woman bought some large frames for $13 each and some small frames for $5 each at a closeout sale.…

Q: The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a…

Q: A woman bought some large frames for $13 each and some small frames for $5 each at a closeout sale.…

A: Here we have to find total no. of large and small frame she brought

Q: In a recent year, the number of graduate students at the University of Texas at Austin was…

A: At the university of Texas at Austin Given that Number of graduate students = (Number of…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

The entry fee at a small fair is $1.50 for children and $4.00 for adults.
On a certain day, 2200 people enter the fair and $5000 is collected.
How many children entered the fair?
Your answer

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 32 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil?
At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child's ticket was $20.50, an adult ticket was $29.75, and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many children, adult, and senior citizen tickets were sold?
Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $15 full-year registration fee and how many had paid the $10 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $250 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
75. Parent Volunteer As the treasurer of her daughters Girl Scout troop, Laney collected money for some girls and adults to go to a 3-day camp. Each girl paid S75 and each adult paid $30. The total amount of money collected for camp was $765. If the number of girlsis three times the number of adults, how many girls and how many adults paid for camp?
After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases 4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is $85. What is the cost of each item?
Galen sold 810 tickets for his church’s carnival for a total revenue of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. How many children’s tickets and how many adult tickets did he sell?
Brenda’s best friend is having a destination wedding and the event will last three days. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?