Adam pays $32.70 for 1 marble and 7 stickers.
The marble costs $1.50 more than each sticker.
- What is the cost of 1 marble?
- How much is the cost of 7 marbles and 4 stickers?
(a)
Choose the cheaper item to be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 marble = 1 u + 1.50
Cost of 7 stickers
= 7 x 1 u
= 7 u
Total cost of 1 marble and 7 stickers
= 1 u + 1.50 + 7 u
= 8 u + 1.50
8 u + 1.50 = 32.70
8 u = 32.70 - 1.50
8 u = 31.20
1 u = 31.20 ÷ 8 = 3.90
Cost of 1 marble
= 3.90 + 1.50
= $5.40
(b)
Cost of 7 marbles and 4 stickers
= 7 x 5.40 + 4 x 3.90
= 37.80 + 15.60
= $53.40
Answer(s): (a) $5.40; (b) $53.40