Adam pays $41.20 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 4 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 = 41.20
7 u = 41.20 - 2.70
7 u = 38.50
1 u = 38.50 ÷ 7 = 5.50
Cost of 1 marble
= 5.50 + 2.70
= $8.20
(b)
Cost of 6 marbles and 4 stickers
= 6 x 8.20 + 4 x 5.50
= 49.20 + 22.00
= $71.20
Answer(s): (a) $8.20; (b) $71.20