Adam pays $41 for 5 stickers and 4 marbles.
4 stickers cost as much as 5 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 2 marbles and 4 stickers?
(a)
LCM of 4 and 5 = 20
Cost of 4 stickers = 20 u
Cost of 1 sticker = 20 u ÷ 4 = 5 u
Cost of 5 marbles = 20 u
Cost of 1 marble = 20 u ÷ 5 = 4 u
Cost of 5 stickers = 5 x 5 u = 25 u
Cost of 4 marbles = 4 x 4 u = 16 u
Total cost of 5 stickers and 4 marbles
= 25 u + 16 u
= 41 u
41 u = 41
1 u = 41 ÷ 41 = 1
Cost of 1 sticker
= 5 u
= 5 x 1
= $5
(b)
Cost of 1 marble
= 4 u
= 4 x 1
= $4
(c)
Cost of 2 marbles and 4 stickers
= 2 x 4 u + 4 x 5 u
= 8 u + 20 u
= 28 u
= 28 x 1
= $28
Answer(s): (a) $5; (b) $4; (c) $28