Adam pays $40 for 2 stickers and 4 marbles.
10 stickers cost as much as 5 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 5 marbles and 3 stickers?
(a)
Choose the smaller group to be 1 u.
Cost of 10 stickers = Cost of 5 marbles
Cost of 2 stickers = Cost of 1 marble
Cost of 1 sticker = 1 u
Cost of 1 marble = 2 u
Cost of 2 stickers
= 2 x 1 u
= 2 u
Cost of 4 marbles
= 4 x 2 u
= 8 u
Total cost of 2 stickers and 4 marbles
= 2 u + 8 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Cost of 1 sticker = 1 u = $4
(b)
Cost of 1 marble
= 2 u
= 2 x 4
= $8
(c)
Cost of 5 marbles and 3 stickers
= 5 x 2 u + 3 x 1 u
= 10 u + 3 u
= 13 u
= 13 x 4
= $52
Answer(s): (a) $4; (b) $8; (c) $52