Adam pays $25 for 3 stickers and 5 marbles.
2 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 2 and 5 = 10
Cost of 2 stickers = 10 u
Cost of 1 sticker = 10 u ÷ 2 = 5 u
Cost of 5 marbles = 10 u
Cost of 1 marble = 10 u ÷ 5 = 2 u
Cost of 3 stickers = 3 x 5 u = 15 u
Cost of 5 marbles = 5 x 2 u = 10 u
Total cost of 3 stickers and 5 marbles
= 15 u + 10 u
= 25 u
25 u = 25
1 u = 25 ÷ 25 = 1
Cost of 1 sticker
= 5 u
= 5 x 1
= $5
(b)
Cost of 1 marble
= 2 u
= 2 x 1
= $2
(c)
Cost of 2 marbles and 4 stickers
= 2 x 2 u + 4 x 5 u
= 4 u + 20 u
= 24 u
= 24 x 1
= $24
Answer(s): (a) $5; (b) $2; (c) $24