If Adam buys 3 stickers and 4 marbles, it costs $50.30.
If Adam buys 4 stickers and 3 marbles, he will have $5.40 left.
- Find the cost of 1 sticker and 1 marble.
- Find the cost of 1 sticker.
- Find the cost of 1 marble.
(a)
3 stickers + 4 marbles = 50.30 --- (1)
4 stickers + 3 marbles = 50.30 - 5.40 = 44.90 --- (2)
(1) + (2)
7 stickers + 7 marbles = 95.20 --- (3)
(3)
÷ 7 1 sticker + 1 marble = 95.20 ÷ 7 = 13.60 --- (4)
Cost of 1 sticker and 1 marble = $13.60
(b)
(4)
x 3 3 stickers + 3 marbles = 3 x 13.60 = 40.80 --- (5)
(2) - (5)
4 stickers + 3 marbles - 3 stickers - 3 marbles = 44.90 - 40.80
4 stickers - 3 stickers - 3 marbles + 3 marbles = 4.10
1 sticker = 4.10
Cost of 1 sticker = $4.10
(c)
Substitute 1 sticker = 4.10 into (4).
1 sticker + 1 marble = 13.60
4.10 + 1 marble = 13.60
1 marble = 13.60 - 4.10 = 9.50
Cost of 1 marble = $9.50
Answer(s): (a) $13.60; (b) $4.10; (c) $9.50