Adam pays $35 for 3 marbles and 2 stickers.
6 marbles cost as much as 3 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 5 stickers and 4 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 6 marbles = Cost of 3 stickers
Cost of 2 marbles = Cost of 1 sticker
Cost of 1 marble = 1 u
Cost of 1 sticker = 2 u
Cost of 3 marbles
= 3 x 1 u
= 3 u
Cost of 2 stickers
= 2 x 2 u
= 4 u
Total cost of 3 marbles and 2 stickers
= 3 u + 4 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Cost of 1 marble = 1 u = $5
(b)
Cost of 1 sticker
= 2 u
= 2 x 5
= $10
(c)
Cost of 5 stickers and 4 marbles
= 5 x 2 u + 4 x 1 u
= 10 u + 4 u
= 14 u
= 14 x 5
= $70
Answer(s): (a) $5; (b) $10; (c) $70
