Question

Save-way-more food store received  a delivery of 86 boxes of apples and bananas. Each box of apples had a mass of 32 Ib., and each box of bananas had a mass of 16 Ib. The total mass of the delivery was 1968 Ib. 

a.) Write a linear system to model this situation.

b.) How many boxes of each fruit were there? Graph, indicate your solution clearly and give the windows on your calculator.

Answer 1

1) write a linear system - let a = boxes of apples and b = boxes of bananas
a + b = 86
32a + 16b = 1968

2) solve - use substitution
a = 86 - b
32(86 - b) + 16b = 1968
2752 - 32b + 16b = 1968
-16b = -784
16b = 784
b = 49
a + 49 = 86
a = 37

37 boxes of apples and 49 boxes of bananas