Question

Mr frank bought 6 pounds of grapes and 3 pounds of apples in the store. he paid $28.20 for the whole purchase. his neighbor mrs. bland pain $16.90 for 2 pounds of grapes and 4 pounds of apples. if all of the apples in the store cost the same and all grapes cost the same, what is the price of one pound of grapes?

Answer 1

The price of one pound of grapes and one pounds of apples in the store is $3.45 and $2.5 respectively.

Simultaneous equation

let

• x = price of grapes
• y = price of apples

6x + 3y = 28.20

2x + 4y = 16.90

• multiply equation (2) by 3

6x + 3y = 28.20

6x + 12y = 50.70

• subtract the equation

9y = 22.50

y = 22.50/9

y = $2.5

substitute y into (2) in

2x + 4y = 16.90

2x + 4(2.5) = 16.90

2x + 10 = 16.90

2x = 16.90 - 10

2x = 6.90

x = 6.90/2

x = $3.45

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