If Adam buys 3 stickers and 4 beads, it costs $44.20.
If Adam buys 4 stickers and 3 beads, he will have $0.900000000000010 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
3 stickers + 4 beads = 44.20 --- (1)
4 stickers + 3 beads = 44.20 - 0.900000000000010 = 43.30 --- (2)
(1) + (2)
7 stickers + 7 beads = 87.50 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 87.50 ÷ 7 = 12.50 --- (4)
Cost of 1 sticker and 1 bead = $12.50
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 12.50 = 37.50 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 43.30 - 37.50
4 stickers - 3 stickers - 3 beads + 3 beads = 5.80
1 sticker = 5.80
Cost of 1 sticker = $5.80
(c)
Substitute 1 sticker = 5.80 into (4).
1 sticker + 1 bead = 12.50
5.80 + 1 bead = 12.50
1 bead = 12.50 - 5.80 = 6.70
Cost of 1 bead = $6.70
Answer(s): (a) $12.50; (b) $5.80; (c) $6.70