Adam pays $28 for 4 marbles and 2 stickers.
4 marbles cost as much as 5 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 3 stickers and 5 marbles?
(a)
LCM of 4 and 5 = 20
Cost of 4 marbles = 20 u
Cost of 1 marble = 20 u ÷ 4 = 5 u
Cost of 5 stickers = 20 u
Cost of 1 sticker = 20 u ÷ 5 = 4 u
Cost of 4 marbles = 4 x 5 u = 20 u
Cost of 2 stickers = 2 x 4 u = 8 u
Total cost of 4 marbles and 2 stickers
= 20 u + 8 u
= 28 u
28 u = 28
1 u = 28 ÷ 28 = 1
Cost of 1 marble
= 5 u
= 5 x 1
= $5
(b)
Cost of 1 sticker
= 4 u
= 4 x 1
= $4
(c)
Cost of 3 stickers and 5 marbles
= 3 x 4 u + 5 x 5 u
= 12 u + 25 u
= 37 u
= 37 x 1
= $37
Answer(s): (a) $5; (b) $4; (c) $37