Adam pays $19.50 for 1 marble and 6 stickers.
The marble costs $2.70 more than each sticker.
- What is the cost of 1 marble?
- How much is the cost of 6 marbles and 8 stickers?
(a)
Choose the cheaper item to be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 marble = 1 u + 2.70
Cost of 6 stickers
= 6 x 1 u
= 6 u
Total cost of 1 marble and 6 stickers
= 1 u + 2.70 + 6 u
= 7 u + 2.70
7 u + 2.70 = 19.50
7 u = 19.50 - 2.70
7 u = 16.80
1 u = 16.80 ÷ 7 = 2.40
Cost of 1 marble
= 2.40 + 2.70
= $5.10
(b)
Cost of 6 marbles and 8 stickers
= 6 x 5.10 + 8 x 2.40
= 30.60 + 19.20
= $49.80
Answer(s): (a) $5.10; (b) $49.80