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

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

Number of sets of shortbreads = 3
Number of sets of croissants = 2

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

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

Amount that 1 set of shortbreads cost more than 1 set of croissants
= 70 - 50
= $20

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

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

Answer(s): $17.50