Adam pays $48 for 4 marbles and 2 stickers.
4 marbles cost as much as 2 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 3 stickers and 2 marbles?
(a)
LCM of 4 and 2 = 4
Cost of 4 marbles = 4 u
Cost of 1 marble = 4 u ÷ 4 = 1 u
Cost of 2 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 2 = 2 u
Cost of 4 marbles = 4 x 1 u = 4 u
Cost of 2 stickers = 2 x 2 u = 4 u
Total cost of 4 marbles and 2 stickers
= 4 u + 4 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Cost of 1 marble
= 1 u
= 1 x 6
= $6
(b)
Cost of 1 sticker
= 2 u
= 2 x 6
= $12
(c)
Cost of 3 stickers and 2 marbles
= 3 x 2 u + 2 x 1 u
= 6 u + 2 u
= 8 u
= 8 x 6
= $48
Answer(s): (a) $6; (b) $12; (c) $48