Adam pays $34.10 for 1 marble and 4 stickers.
The marble costs $1.60 more than each sticker.
- What is the cost of 1 marble?
- How much is the cost of 4 marbles and 5 stickers?
(a)
Choose the cheaper item to be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 marble = 1 u + 1.60
Cost of 4 stickers
= 4 x 1 u
= 4 u
Total cost of 1 marble and 4 stickers
= 1 u + 1.60 + 4 u
= 5 u + 1.60
5 u + 1.60 = 34.10
5 u = 34.10 - 1.60
5 u = 32.50
1 u = 32.50 ÷ 5 = 6.50
Cost of 1 marble
= 6.50 + 1.60
= $8.10
(b)
Cost of 4 marbles and 5 stickers
= 4 x 8.10 + 5 x 6.50
= 32.40 + 32.50
= $64.90
Answer(s): (a) $8.10; (b) $64.90