Question

At a farmers market, oranges sell for $5 per bag and apples sell for $3 per bag. Jordan buys 7 bags of fruit for $31. How many bags of each type of fruit did she buy?

Answer 1

Answer

Find out how many bags of each type of fruit did jordan buys .

To prove

let us assume that the number of orange bags jordan buys be = x

let us assume that the number of apples bags jordan buys be = y

As given

At a farmers market, oranges sell for $5 per bag and apples sell for $3 per bag.

Jordan buys 7 bags of fruit for $31.

Than the equation becomes

x + y = 7

5x + 3y  = 31

Multiply x + y = 7 by 3 and subtracting from 5x + 3y  = 31 .

5x - 3x + 3y - 3y = 31 -21

2x = 10

$x = \frac{10}{2}$

x = 5

put this in the x + y = 7 .

5 + y = 7

y = 7-5

y =  2

Therefore the number of oranges bags jordan buys be 5 .

the number of apples jordan bags buys be 2.

Hence proved