Question

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

bag. Teresa buys 7 bags of fruit for $27. How many bags of each type of fruit
did she buy?
O
A. 3 bags of oranges, 4 bags of apples
O
B. 5 bags of oranges, 2 bags of apples
O
C. 2 bags of oranges, 5 bags of apples
O
D. 4 bags of oranges, 3 bags of apples
SUBMIT

Answer 1

A. 3 bags of oranges, 4 bags of apples

Explanation:

If O is number of bags of oranges and A is number of bags of apples:

O + A = 7

5O + 3A = 27

We can solve this system of equations with either substitution or elimination. I like to use substitution, but you can use whichever you prefer.

O = 7 − A

5 (7 − A) + 3A = 27

35 − 5A + 3A = 27

35 − 2A = 27

8 = 2A

A = 4

O = 7 − A

O = 3

Teresa bought 3 bags of oranges and 4 bags of apples.