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