Adam pays $12 for 5 marbles and 2 stickers.
2 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 5 stickers and 4 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 5 marbles = 5 x 2 u = 10 u
Cost of 2 stickers = 2 x 1 u = 2 u
Total cost of 5 marbles and 2 stickers
= 10 u + 2 u
= 12 u
12 u = 12
1 u = 12 ÷ 12 = 1
Cost of 1 marble
= 2 u
= 2 x 1
= $2
(b)
Cost of 1 sticker
= 1 u
= 1 x 1
= $1
(c)
Cost of 5 stickers and 4 marbles
= 5 x 1 u + 4 x 2 u
= 5 u + 8 u
= 13 u
= 13 x 1
= $13
Answer(s): (a) $2; (b) $1; (c) $13