Adam pays $25 for 5 stickers and 3 marbles.
5 stickers cost as much as 2 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 3 marbles and 4 stickers?
(a)
LCM of 5 and 2 = 10
Cost of 5 stickers = 10 u
Cost of 1 sticker = 10 u ÷ 5 = 2 u
Cost of 2 marbles = 10 u
Cost of 1 marble = 10 u ÷ 2 = 5 u
Cost of 5 stickers = 5 x 2 u = 10 u
Cost of 3 marbles = 3 x 5 u = 15 u
Total cost of 5 stickers and 3 marbles
= 10 u + 15 u
= 25 u
25 u = 25
1 u = 25 ÷ 25 = 1
Cost of 1 sticker
= 2 u
= 2 x 1
= $2
(b)
Cost of 1 marble
= 5 u
= 5 x 1
= $5
(c)
Cost of 3 marbles and 4 stickers
= 3 x 5 u + 4 x 2 u
= 15 u + 8 u
= 23 u
= 23 x 1
= $23
Answer(s): (a) $2; (b) $5; (c) $23
