sandy wrote:
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.
Quantity A |
Quantity B |
The cost of a papaya |
\(\$2.00\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Let B = cost of 1 banana
Let A = cost of 1 apple
Let M = cost of 1 mango
Let P = cost of 1 papaya
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50We can write:
3B + 2A + M = 3.50The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20We can write:
3B + 2A + P = 4.20We have two equations:
3B + 2A + P = 4.203B + 2A + M = 3.50Subtract the bottom equation from the top equation to get:
P - M = 0.7The ratio of the cost of a mango to the cost of a papaya is 3 : 5We can write: M/P = 3/5
Cross multiple to get: 5M = 3P
Rearrange to get:
3P - 5M = 0We now have the following:
P - M = 0.73P - 5M = 0Take top equation and multiply both sides by 5 to get:
5P - 5M = 3.503P - 5M = 0Subtract the bottom equation from the top equation to get:
2P = 3.50
Solve: P = 1.75 (this is the value of Quantity A)
Answer: B
Cheers,
Brent