Gem paid $310 for some cupcakes and wafers. The ratio of the boxes of cupcakes to the boxes of wafers was 3 : 2. Each box of cupcakes cost $5 more than each box of wafers. She paid $110 more for the cupcakes than the wafers. What was the price of each box of cupcakes?
(a)
Total amount that the wafers cost
= (310 - 110) ÷ 2
= 200 ÷ 2
= $100

Total amount that the cupcakes cost
= 100 + 110
= $210

Number of sets of cupcakes = 3
Number of sets of wafers = 2

Cost of 1 set of cupcakes
= 210 ÷ 3
= $70

Cost of 1 set of wafers
= 100 ÷ 2
= $50

Amount that 1 set of cupcakes cost more than 1 set of wafers
= 70 - 50
= $20

Number of boxes of cupcakes in 1 set
= 20 ÷ 5
= 4

Price of each box of cupcakes
= 70 ÷ 4
= $17.50

Answer(s): $17.50