Adam pays $44.10 for 1 marble and 5 stickers.
The marble costs $2.70 more than each sticker.
- What is the cost of 1 marble?
- How much is the cost of 5 marbles and 6 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 5 stickers
= 5 x 1 u
= 5 u
Total cost of 1 marble and 5 stickers
= 1 u + 2.70 + 5 u
= 6 u + 2.70
6 u + 2.70 = 44.10
6 u = 44.10 - 2.70
6 u = 41.40
1 u = 41.40 ÷ 6 = 6.90
Cost of 1 marble
= 6.90 + 2.70
= $9.60
(b)
Cost of 5 marbles and 6 stickers
= 5 x 9.60 + 6 x 6.90
= 48.00 + 41.40
= $89.40
Answer(s): (a) $9.60; (b) $89.40