Adam pays $42 for 2 stickers and 3 marbles.
8 stickers cost as much as 2 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 4 marbles and 3 stickers?
(a)
Choose the smaller group to be 1 u.
Cost of 8 stickers = Cost of 2 marbles
Cost of 4 stickers = Cost of 1 marble
Cost of 1 sticker = 1 u
Cost of 1 marble = 4 u
Cost of 2 stickers
= 2 x 1 u
= 2 u
Cost of 3 marbles
= 3 x 4 u
= 12 u
Total cost of 2 stickers and 3 marbles
= 2 u + 12 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Cost of 1 sticker = 1 u = $3
(b)
Cost of 1 marble
= 4 u
= 4 x 3
= $12
(c)
Cost of 4 marbles and 3 stickers
= 4 x 4 u + 3 x 1 u
= 16 u + 3 u
= 19 u
= 19 x 3
= $57
Answer(s): (a) $3; (b) $12; (c) $57