Adam pays $25 for 3 stickers and 4 marbles.
4 stickers cost as much as 3 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 3 marbles and 4 stickers?
(a)
LCM of 4 and 3 = 12
Cost of 4 stickers = 12 u
Cost of 1 sticker = 12 u ÷ 4 = 3 u
Cost of 3 marbles = 12 u
Cost of 1 marble = 12 u ÷ 3 = 4 u
Cost of 3 stickers = 3 x 3 u = 9 u
Cost of 4 marbles = 4 x 4 u = 16 u
Total cost of 3 stickers and 4 marbles
= 9 u + 16 u
= 25 u
25 u = 25
1 u = 25 ÷ 25 = 1
Cost of 1 sticker
= 3 u
= 3 x 1
= $3
(b)
Cost of 1 marble
= 4 u
= 4 x 1
= $4
(c)
Cost of 3 marbles and 4 stickers
= 3 x 4 u + 4 x 3 u
= 12 u + 12 u
= 24 u
= 24 x 1
= $24
Answer(s): (a) $3; (b) $4; (c) $24