Adam pays $27 for 2 stickers and 5 marbles.
2 stickers cost as much as 4 marbles.
- How much is 1 sticker?
- How much is 1 marble?
- How much is 3 marbles and 4 stickers?
(a)
LCM of 2 and 4 = 4
Cost of 2 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 2 = 2 u
Cost of 4 marbles = 4 u
Cost of 1 marble = 4 u ÷ 4 = 1 u
Cost of 2 stickers = 2 x 2 u = 4 u
Cost of 5 marbles = 5 x 1 u = 5 u
Total cost of 2 stickers and 5 marbles
= 4 u + 5 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Cost of 1 sticker
= 2 u
= 2 x 3
= $6
(b)
Cost of 1 marble
= 1 u
= 1 x 3
= $3
(c)
Cost of 3 marbles and 4 stickers
= 3 x 1 u + 4 x 2 u
= 3 u + 8 u
= 11 u
= 11 x 3
= $33
Answer(s): (a) $6; (b) $3; (c) $33
