Risa paid $450 for some macarons and shortbreads. The ratio of the boxes of macarons to the boxes of shortbreads was 2 : 5. Each box of macarons cost $10 more than each box of shortbreads. She paid $150 more for the macarons than the shortbreads. What was the price of each box of macarons?
(a)
Total amount that the shortbreads cost
= (450 - 150) ÷ 2
= 300 ÷ 2
= $150

Total amount that the macarons cost
= 150 + 150
= $300

Number of sets of macarons = 2
Number of sets of shortbreads = 5

Cost of 1 set of macarons
= 300 ÷ 2
= $150

Cost of 1 set of shortbreads
= 150 ÷ 5
= $30

Amount that 1 set of macarons cost more than 1 set of shortbreads
= 150 - 30
= $120

Number of boxes of macarons in 1 set
= 120 ÷ 10
= 12

Price of each box of macarons
= 150 ÷ 12
= $12.50

Answer(s): $12.50