Adam pays $50 for 3 marbles and 5 stickers.
2 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 2 and 5 = 10
Cost of 2 marbles = 10 u
Cost of 1 marble = 10 u ÷ 2 = 5 u
Cost of 5 stickers = 10 u
Cost of 1 sticker = 10 u ÷ 5 = 2 u
Cost of 3 marbles = 3 x 5 u = 15 u
Cost of 5 stickers = 5 x 2 u = 10 u
Total cost of 3 marbles and 5 stickers
= 15 u + 10 u
= 25 u
25 u = 50
1 u = 50 ÷ 25 = 2
Cost of 1 marble
= 5 u
= 5 x 2
= $10
(b)
Cost of 1 sticker
= 2 u
= 2 x 2
= $4
(c)
Cost of 3 stickers and 5 marbles
= 3 x 2 u + 5 x 5 u
= 6 u + 25 u
= 31 u
= 31 x 2
= $62
Answer(s): (a) $10; (b) $4; (c) $62