Adam pays $33 for 5 marbles and 3 stickers.
4 marbles cost as much as 2 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 4 stickers and 2 marbles?
(a)
LCM of 4 and 2 = 4
Cost of 4 marbles = 4 u
Cost of 1 marble = 4 u ÷ 4 = 1 u
Cost of 2 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 2 = 2 u
Cost of 5 marbles = 5 x 1 u = 5 u
Cost of 3 stickers = 3 x 2 u = 6 u
Total cost of 5 marbles and 3 stickers
= 5 u + 6 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Cost of 1 marble
= 1 u
= 1 x 3
= $3
(b)
Cost of 1 sticker
= 2 u
= 2 x 3
= $6
(c)
Cost of 4 stickers and 2 marbles
= 4 x 2 u + 2 x 1 u
= 8 u + 2 u
= 10 u
= 10 x 3
= $30
Answer(s): (a) $3; (b) $6; (c) $30