Adam pays $22 for 5 marbles and 3 stickers.
10 marbles cost as much as 5 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 3 stickers and 2 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 10 marbles = Cost of 5 stickers
Cost of 2 marbles = Cost of 1 sticker
Cost of 1 marble = 1 u
Cost of 1 sticker = 2 u
Cost of 5 marbles
= 5 x 1 u
= 5 u
Cost of 3 stickers
= 3 x 2 u
= 6 u
Total cost of 5 marbles and 3 stickers
= 5 u + 6 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Cost of 1 marble = 1 u = $2
(b)
Cost of 1 sticker
= 2 u
= 2 x 2
= $4
(c)
Cost of 3 stickers and 2 marbles
= 3 x 2 u + 2 x 1 u
= 6 u + 2 u
= 8 u
= 8 x 2
= $16
Answer(s): (a) $2; (b) $4; (c) $16
