Adam pays $41.30 for 1 marble and 5 stickers.
The marble costs $2.90 more than each sticker.
- What is the cost of 1 marble?
- How much is the cost of 5 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 + 2.90
Cost of 5 stickers
= 5 x 1 u
= 5 u
Total cost of 1 marble and 5 stickers
= 1 u + 2.90 + 5 u
= 6 u + 2.90
6 u + 2.90 = 41.30
6 u = 41.30 - 2.90
6 u = 38.40
1 u = 38.40 ÷ 6 = 6.40
Cost of 1 marble
= 6.40 + 2.90
= $9.30
(b)
Cost of 5 marbles and 8 stickers
= 5 x 9.30 + 8 x 6.40
= 46.50 + 51.20
= $97.70
Answer(s): (a) $9.30; (b) $97.70