How did you derive to get these values (encircled)? Please show the complete solution. For a cost of P 100.00, a box of apples wasjointly purchased by Maria, Elena and Ana.One-half of what Maria paid added to one-fifth of what Elena paid and one-tenth of whatAna paid will make it P 40.00, and the sum ofwhat Maria paid increased by one-eighth ofwhat Elena paid diminished by 1/4 of whatAna paid will give a total of P 70.00. Howmuch did each pay? Let the amount contributed be M, E and ArespectivelyM + E + A = 100...........i)0.5M + 0.2E + 0.1A = 40.......ii)%3DM+0.125E-0.25A = 70......iii).... ... ..i - 2*ii would lead to - 0.6E + 0.8A = 20or A = (20 - 0.6E)/0.8.....ivi- iii -{ 0.875E + 1.25A = 30%3Dreplace A with iv0.875E + 1.25*(20 - 0.6E)/0.8 = 300.7E + 25 - 0.75E = 24E = 20put this in ivA = (20-0.6*20)/0.8 = 10%3D

Let the amount contributed be Meria(M), Elena(E) and Ana(A) respectively.…

Answered: For a cost of P 100.00, a box of apples…

Math

Advanced Math

For a cost of P 100.00, a box of apples was jointly purchased by Maria, Elena and Ana.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 5CT: A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25...

See similar textbooks

Related questions

Q: In order to give his customers a 25% discount on the price and still net a 25% profit on the cost of…

A: Lets take mark price = x after giving 25 % discount selling price =x-25% x=0.75x

Q: Jaime's older brother and his three friends want to split the cost of lunch. They also want to leave…

Q: A retailer buys 300 bicycles for $249.99 each and plans a 36% markup on cost. What will be the price…

A: Given problem:- A retailer buys 300 bicycles for $249.99 each and plans a 36% markup on cost. What…

Q: After a 60% reduction, a jacket sold for $20. What was the jacket’s price before the reduction?

Q: Serena had 5 pounds of dog food to split between 8 dogs

Q: Julia sold his house for $381,250, which was 125% of the amount he bought it for. Calculate the…

A: Solve the following

Q: if you have 260 ten dollar bills what would the value of your money be?

A: If you have 260 ten dollar bills what would the value of your money be?

Q: You got a great deal on a new computer for $800 that was marked down by 60% from the original price.…

A: According to the given information it is required to find the original price of the new computer…

Q: Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the…

Q: Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?

A: Given, Maria bought 10 notebooks and 5 pens costing 2 dollars each.

Q: Evan used half of his paycheck for his car payment, then $125 for groceries. If he h $215 left, how…

A: Consider x as the paycheck amount. Half of paycheck Evan use for car payment = 12x For grocery = 125…

Q: how much will you pay for 9 bundles?

A: Given, Cost of 1 bundle of pineapple= 100.00

Q: A shirt is on sale for $24.50, which is 30% off the original price. What is the regular price?

Q: After a 20% price reduction, a cordless phone sold for $48. What was the phone's price before the…

A: Given selling price if a cordless phone, S = $48 It was sold after 20% price reduction. To find the…

Q: A store sells a packet of biscuit for R26.00 which it claims represents a discount of 26% of the…

Q: a desk is on sale for $205.20, which is 62% less than the regular price. what is the regular price?

A: Obtain the percentage of the present price.

Q: Lou figures that his monthly car insurance payment of $180 is equal to 35% of the amount of his auto…

A: Given insurance amount and auto loan need to find.total

Q: A shirt is on sale for 25% off. Sandy paid $7.50 for the shirt. What was the shirt's regular price?

A: The discount rate on the shirt is: 25% The amount that Sandy paid for one shirt is: $7.50

Q: After a 20% reduction, you purchase a new laptop for $424. What was the original price of the…

A: Given, After a 20% reduction, you purchase a new laptop for $424

Q: Martin bought 3 pairs of shoes at P240 each pair and 3 pieces of t shirts at P300 each. How much did…

Q: Allison earns $40000 base salary plus a commission equal to 15% of her total sales. If she earned…

Q: Juan and Pedro agree to share the cost of a P180 pizza proportionately on how much each ate. If Juan…

Q: The total cost for tuition plus room and board at State University is S2,584.Tuition costs S704 more…

Q: Find the selling price of a dvd set which costs Rs2109 and markup is 30%on cost.what is the amount…

A: Given: Cost price of the dvd set is Rs 2109 Markup = 30% on cost price.

Q: A sofa is on sale for 24% off. The sale price is $513. What is the regular price?

A: Regular Price - discount = sale price

Q: Alfredo bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale…

A: Original price is $97 Discount is 60% Therefore sale price = 97×1.00-0.60 = $38.80Tax on sale price…

Q: How much will person pay for 4.5 pounds of banana at a price of 2.29$ per pound?

Q: A desk is on sale for $402, which is 33% less than the regular price. What is the regular price?

A: topic - percentage

Q: Zach earns $1,400 plus 15% commission of his sales every month. What was Zach's total sales for a…

Q: Kevin made $144 for 9 hours of work. At the same rate, how much would he make for 12 hours of work?

A: At first we find rate of Kevin work. Kevin made $144 for 9 hours of work, another way we say that…

Q: If the tax rate is 29.39% and you paid 1,235.68 in taxes for your bonus, how much was your bonus…

A: Solution ) if 29.39 % is 1235.68 So 100% = 100 × 1235.68 / 29.39 = 4204.42

Q: A desk is on sale for $429, which is 34% less than the regular price. What is the regular price?

Q: Alfred and his 4 friends bought 13141314 pounds of gummy bears at $1.20 a pound. If the cost of the…

A: The weight of the gummy bears bought is 1314=13.25 pounds. Cost of one pound of gummy bears is…

Q: Juan bought a basketball for 40% off. If he paid $36 for the basketball, what was the original…

A: Let the original price of the basketball = $x off = 40% Amount paid by Juan = $36

Q: Christopher Lao paid P250 less for a bill of goods after he was granted a trade discount of 16%.…

A: The objective is to find the list price .

Q: Mark is paid a 3% commission on each car that he sells. If Mark sells $220,000 in cars. what is his…

A: Given, Mark is paid a 3% commission on each car that he sells. Mark sells $ 220,000 in cars We…

Q: A desk is on sale for $551, which is 24% less than the regular price. What is the regular price?

A: We have given, a desk is on sale for $551, which is 24% less than the regular price.Then the…

Q: How much will you earn from selling 24 bars of Triple Chocolate Brownies priced at P24 per bar with…

A: In the given problem we have to find how much will you earn from selling 24 bars of Triple Chocolate…

Q: The price of Veronicas meal before tax and tip was $11.92.Veronica paid 8% tax, then added 15% tip…

Q: Alejandro bought a TV for $900 and paid a sales tax of 8%. How much did he pay for the TV?

A: Total Cost = Actual cost + sales tax

Q: Jacob paid $120 for a portable e-book reader that was 80% of the original price. What was the…

A: Let the original price be x

Q: Sandi works for Elizabeth Arden Cosmetics and earns $500 per week salary plus 4% commission on sales…

A: It is given that , Sandi works for Elizabeth Arden Cosmetics and earns $500 per week salary plus 4%…

Q: Robert bought a used car for 1,500.00.If the sales tax is 5%, what will be the total that Robert had…

Q: Jose receives a monthly salary of $2,880. His annual salary is raised by 7%. What is his new annual…

A: Given , Jose receives a monthly salary of $ 2,880. His annual salary is raised by 7%. We have to…

Q: Hubert paid a total of $3,250 for 250 shares of stock. He sold the stock for $11.70 per share and…

A: The profit is the amount which a dealer gains in a deal. In that case, the amount spent is smaller…

Q: 3. A house sold for $75,200, which was 94% of the listing price of

A: Since this is a multiple question, according to the Bartleby Answering rule, only first question is…

Q: Find the selling price of a DVD set which costs Rs. 8017 and the markup is 30% on cost. What is the…

Q: A real estate agent received a 6% commission on the selling price of a house. If his commission was…

Q: how much would one slice of pizza cost.

A: Given, Cost of 3 slices of pizza is $4.50 Total cost=$4.50 Total slices= 3 So, In order to find the…

Q: if a 10-pound sugar cost 0.77 per pound, how much does it costs for each cup?

Question

How did you derive to get these values (encircled)? Please show the complete solution.

For a cost of P 100.00, a box of apples was
jointly purchased by Maria, Elena and Ana.
One-half of what Maria paid added to one-
fifth of what Elena paid and one-tenth of what
Ana paid will make it P 40.00, and the sum of
what Maria paid increased by one-eighth of
what Elena paid diminished by 1/4 of what
Ana paid will give a total of P 70.00. How
much did each pay?

Let the amount contributed be M, E and A
respectively
M + E + A = 100.........
..i)
0.5M + 0.2E + 0.1A = 40.......ii)
%3D
M+0.125E-0.25A = 70......iii)
.... ... ..
i - 2*ii would lead to - 0.6E + 0.8A = 20
or A = (20 - 0.6E)/0.8.....iv
i- iii -{ 0.875E + 1.25A = 30
%3D
replace A with iv
0.875E + 1.25*(20 - 0.6E)/0.8 = 30
0.7E + 25 - 0.75E = 24
E = 20
put this in iv
A = (20-0.6*20)/0.8 = 10
%3D

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

Similar questions

Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 5%, and the Toyota by 12%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year?
Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?
If you are solving a break-even analysis and get a negative break-even point, explain what this signifies for the company?
A custom-blend bird seed is made by mixing two types of bird seeds costing $0.75 per pound and $1.25 per pound. How many pounds of each type of seed mixture are used to make 200 pounds of custom-blend bird seed costing $0.95 per pound?
Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and truck driver. The sum of the annual salaries of the warehouse manager and office manager is $82,000. The office manager makes $4,000 more than the truck driver annually. The annual salaries of the warehouse manager and the truck driver total $78,000. What is the annual salary of each of the co-workers?