Adam pays $50 for 4 stickers and 2 marbles.
6 stickers cost as much as 2 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 3 marbles and 2 stickers?
(a)
Choose the smaller group to be 1 u.
Cost of 6 stickers = Cost of 2 marbles
Cost of 3 stickers = Cost of 1 marble
Cost of 1 sticker = 1 u
Cost of 1 marble = 3 u
Cost of 4 stickers
= 4 x 1 u
= 4 u
Cost of 2 marbles
= 2 x 3 u
= 6 u
Total cost of 4 stickers and 2 marbles
= 4 u + 6 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Cost of 1 sticker = 1 u = $5
(b)
Cost of 1 marble
= 3 u
= 3 x 5
= $15
(c)
Cost of 3 marbles and 2 stickers
= 3 x 3 u + 2 x 1 u
= 9 u + 2 u
= 11 u
= 11 x 5
= $55
Answer(s): (a) $5; (b) $15; (c) $55