A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with different seating. If the venue sells 1,000 tickets and collects a total of $12,200 from sales, how many of each type of ticket did they sell?

Q: A basketball field house seats 15,000. Courtside seats sell for $8, end zone for $7, and balcony for…

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Q: A Broadway theater has 800 ​seats, divided into orchestra, main, and balcony seating. Orchestra…

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Q: 92 people attend a concert and tickets for adults, cost $4 while tickets for children cost $3 and…

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Q: A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and has…

A: Let's assume there are n  lots bought by the realtor So the cost price for a lot will be $90,000/n…

Q: A Broadway theater has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats…

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Q: A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and…

A: A theater charges $50 per ticket for seats in Section A, $30 per ticket for seats in Section B, and…

Q: A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard…

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Q: The Four Flying Feldmans acrobat troupe is planning a nationwide tour. They will perform hold about…

A: Given that the Four Flying Feldmans acrobat troupe is planning a nationwide tour. They will perform…

Q: If a man was left with 10 hectares fewer than 40% of his land after selling 6 hectares more than 70%…

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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: A theater charges $80 per ticket for seats in Section A, $70 per ticket for seats in Section B, and…

A: topic - linear equation in three variables

Q: A movie theater has a seating capacity of 145. The theater charges $5.00 for children, $7.00 for…

A: A movie theater has a seating capacity of 145. The theater charges $5.00 for children, $7.00 for…

Q: if a pup is worth a pooch and mutt, and a pup and a pooch are worth one bird-dog, and two bird-dogs…

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Q: Teddy gives Arman as many stickers as Arman has and Ryan as many as ryan has. After that, Arman…

A: Let T be the number of stickers Teddy have initially. Let A be the number of stickers Arman have…

Q: During a basketball game, one team made 16 out of 25 free throws attempted. If they attempt 175 free…

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Q: In March 2002 Cisco (CSCO) stock rose from $18 to $19, and America Online-Time Warner (AOL) dropped…

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Q: restaurant sold a total of 2541 meals in one week. If by Saturday they had sold 2137 meals, how many…

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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: A teacher owns 5 pens for every 6 pencils. If she has 45 pens in total, how many pencils does she…

A: We have the following equation  5 pens=6 pencil.

Q: For the month of December, company A's stock decreased from $50 to $43 per share and company B's…

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

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Q: If Langston makes $22 dollars a week but always puts half into savings for college, after how many…

A: if guitar cost $200 and plus 7% sales tax then total cost of guitar  =200+200*0.07=214

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: A woman made a deposit of ​$287 . If her deposit consisted of 83   ​bills, some of them…

A: topic- linear equation in two variables

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

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Q: While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way…

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Q: If Mr. Brown and his son together had 220 dollars, and Mr. Brown had 10times as much as his son, how…

A: Let son had $ x Mr. Brown had $ 10x Together they had $ 220

Q: The four owners of a shop realize a loss of $240 in February. If the loss is shared equally, what…

A: Given: Four owners of a shop realize a loss of 240 dollars in a month February.

Q: A shopkeeper has enough money to buy 40 books, each costing ₹125.How many books he can buy if he…

A: Given Cost of each book = ₹125 A shopkeeper has enough money to buy 40 books

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: 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: In a new development, 50 one- and two-bedroom condominiums were sold. Each one-bedroom condominium…

A: Let one-bedroom condominiums be x and two-bedroom condominiums be y. Now write the system of linear…

Q: The senior classes at High School A and High School B planned separate trips to the county fair. The…

A: Every van had the same number of students in it as did the buses. Let x is the number of students in…

Q: How many of each denomination does he have?

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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: At the city museum, child admission is  $6.20  and adult admission is  $9.40 . On Monday, twice as…

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Q: In March 2002 Cisco (CSCO) stock rose from $18 to $19, and America Online-Time Warner (AOL) dropped…

A:

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: You are offered a job as a set designer on two different movies. If company A offers to pay you $450…

A: Given that you are offered a job as a set designer on two different movies. If company A offers you…

Q: A restaurant manager wants to purchase 200 sets of dishes. One design cost $25 per set, while…

A: Let 'x' sets for the design cost $25 per set and  'y' sets for the design cost $45 per set should be…

Q: A theater charges $50 per ticket for seats in section A, $30 per ticket in section B, and $20 per…

A:

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: There are 49,000 seats in a stadium divided into three levels: lower level, club level, and upper…

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

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Q: In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty members do not…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

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Q: A roofer charged $60 for the first hour of a service and $20 per hour for each additional hour.

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

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Q: A man has 27 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: A man has 27 coins in his pocket, all of which are dimes and quarters. If the total value of his…

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.