Adam pays $29 for 5 marbles and 3 stickers.
3 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 4 stickers and 2 marbles?
(a)
LCM of 3 and 4 = 12
Cost of 3 marbles = 12 u
Cost of 1 marble = 12 u ÷ 3 = 4 u
Cost of 4 stickers = 12 u
Cost of 1 sticker = 12 u ÷ 4 = 3 u
Cost of 5 marbles = 5 x 4 u = 20 u
Cost of 3 stickers = 3 x 3 u = 9 u
Total cost of 5 marbles and 3 stickers
= 20 u + 9 u
= 29 u
29 u = 29
1 u = 29 ÷ 29 = 1
Cost of 1 marble
= 4 u
= 4 x 1
= $4
(b)
Cost of 1 sticker
= 3 u
= 3 x 1
= $3
(c)
Cost of 4 stickers and 2 marbles
= 4 x 3 u + 2 x 4 u
= 12 u + 8 u
= 20 u
= 20 x 1
= $20
Answer(s): (a) $4; (b) $3; (c) $20