Question

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many bananas did they use if there is 1/2 a banana on each split?

Answer 1

2s + 3b = 156
s = b + 8

substituting ___ 2(b + 8) + 3b = 156 ___ 5b = 140 ___ b = 28

s = b + 8 = 36


2l + 2w = 90 ___ l + w = 45
l = 4w - 5

substituting ___ (4w - 5) + w = 45 ___ 5w = 50