Adam pays $36 for 2 marbles and 5 stickers.
2 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 4 stickers and 3 marbles?
(a)
LCM of 2 and 4 = 4
Cost of 2 marbles = 4 u
Cost of 1 marble = 4 u ÷ 2 = 2 u
Cost of 4 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 4 = 1 u
Cost of 2 marbles = 2 x 2 u = 4 u
Cost of 5 stickers = 5 x 1 u = 5 u
Total cost of 2 marbles and 5 stickers
= 4 u + 5 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Cost of 1 marble
= 2 u
= 2 x 4
= $8
(b)
Cost of 1 sticker
= 1 u
= 1 x 4
= $4
(c)
Cost of 4 stickers and 3 marbles
= 4 x 1 u + 3 x 2 u
= 4 u + 6 u
= 10 u
= 10 x 4
= $40
Answer(s): (a) $8; (b) $4; (c) $40