Penelope paid $410 for some biscuits and cupcakes. The ratio of the boxes of biscuits to the boxes of cupcakes was 3 : 2. Each box of biscuits cost $5 more than each box of cupcakes. She paid $130 more for the biscuits than the cupcakes. What was the price of each box of biscuits?
(a)
Total amount that the cupcakes cost
= (410 - 130) ÷ 2
= 280 ÷ 2
= $140

Total amount that the biscuits cost
= 140 + 130
= $270

Number of sets of biscuits = 3
Number of sets of cupcakes = 2

Cost of 1 set of biscuits
= 270 ÷ 3
= $90

Cost of 1 set of cupcakes
= 140 ÷ 2
= $70

Amount that 1 set of biscuits cost more than 1 set of cupcakes
= 90 - 70
= $20

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

Price of each box of biscuits
= 90 ÷ 4
= $22.50

Answer(s): $22.50