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?

Question

Mathematics

Logan Pham

13 September, 17:50

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?

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Panther · 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