Adam pays $11 for 4 marbles and 3 stickers.
2 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 4 stickers and 5 marbles?
(a)
LCM of 2 and 4 = 4
Cost of 2 marbles = 4 u
Cost of 1 marble = 4 u ÷ 2 = 2 u
Cost of 4 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 4 = 1 u
Cost of 4 marbles = 4 x 2 u = 8 u
Cost of 3 stickers = 3 x 1 u = 3 u
Total cost of 4 marbles and 3 stickers
= 8 u + 3 u
= 11 u
11 u = 11
1 u = 11 ÷ 11 = 1
Cost of 1 marble
= 2 u
= 2 x 1
= $2
(b)
Cost of 1 sticker
= 1 u
= 1 x 1
= $1
(c)
Cost of 4 stickers and 5 marbles
= 4 x 1 u + 5 x 2 u
= 4 u + 10 u
= 14 u
= 14 x 1
= $14
Answer(s): (a) $2; (b) $1; (c) $14