Adam pays $39 for 4 marbles and 5 stickers.
2 marbles cost as much as 4 stickers.
- How much is 1 marble?
- How much is 1 sticker?
- How much is 3 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 5 stickers = 5 x 1 u = 5 u
Total cost of 4 marbles and 5 stickers
= 8 u + 5 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
Cost of 1 marble
= 2 u
= 2 x 3
= $6
(b)
Cost of 1 sticker
= 1 u
= 1 x 3
= $3
(c)
Cost of 3 stickers and 5 marbles
= 3 x 1 u + 5 x 2 u
= 3 u + 10 u
= 13 u
= 13 x 3
= $39
Answer(s): (a) $6; (b) $3; (c) $39
