Adam pays $38 for 5 stickers and 3 marbles.
3 stickers cost as much as 2 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 2 marbles and 5 stickers?
(a)
LCM of 3 and 2 = 6
Cost of 3 stickers = 6 u
Cost of 1 sticker = 6 u ÷ 3 = 2 u
Cost of 2 marbles = 6 u
Cost of 1 marble = 6 u ÷ 2 = 3 u
Cost of 5 stickers = 5 x 2 u = 10 u
Cost of 3 marbles = 3 x 3 u = 9 u
Total cost of 5 stickers and 3 marbles
= 10 u + 9 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Cost of 1 sticker
= 2 u
= 2 x 2
= $4
(b)
Cost of 1 marble
= 3 u
= 3 x 2
= $6
(c)
Cost of 2 marbles and 5 stickers
= 2 x 3 u + 5 x 2 u
= 6 u + 10 u
= 16 u
= 16 x 2
= $32
Answer(s): (a) $4; (b) $6; (c) $32