Adam pays $33 for 2 marbles and 5 stickers.
5 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 5 stickers and 3 marbles?
(a)
LCM of 5 and 4 = 20
Cost of 5 marbles = 20 u
Cost of 1 marble = 20 u ÷ 5 = 4 u
Cost of 4 stickers = 20 u
Cost of 1 sticker = 20 u ÷ 4 = 5 u
Cost of 2 marbles = 2 x 4 u = 8 u
Cost of 5 stickers = 5 x 5 u = 25 u
Total cost of 2 marbles and 5 stickers
= 8 u + 25 u
= 33 u
33 u = 33
1 u = 33 ÷ 33 = 1
Cost of 1 marble
= 4 u
= 4 x 1
= $4
(b)
Cost of 1 sticker
= 5 u
= 5 x 1
= $5
(c)
Cost of 5 stickers and 3 marbles
= 5 x 5 u + 3 x 4 u
= 25 u + 12 u
= 37 u
= 37 x 1
= $37
Answer(s): (a) $4; (b) $5; (c) $37