If Adam buys 3 stickers and 4 beads, it costs $35.20.
If Adam buys 4 stickers and 3 beads, he will have $3.90 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 = 35.20 --- (1)
4 stickers + 3 beads = 35.20 - 3.90 = 31.30 --- (2)
(1) + (2)
7 stickers + 7 beads = 66.50 --- (3)
(3)
÷ 7 1 sticker + 1 bead = 66.50 ÷ 7 = 9.50 --- (4)
Cost of 1 sticker and 1 bead = $9.50
(b)
(4)
x 3 3 stickers + 3 beads = 3 x 9.50 = 28.50 --- (5)
(2) - (5)
4 stickers + 3 beads - 3 stickers - 3 beads = 31.30 - 28.50
4 stickers - 3 stickers - 3 beads + 3 beads = 2.80
1 sticker = 2.80
Cost of 1 sticker = $2.80
(c)
Substitute 1 sticker = 2.80 into (4).
1 sticker + 1 bead = 9.50
2.80 + 1 bead = 9.50
1 bead = 9.50 - 2.80 = 6.70
Cost of 1 bead = $6.70
Answer(s): (a) $9.50; (b) $2.80; (c) $6.70