If Adam buys 2 beads and 3 stickers, it costs $31.20.
If Adam buys 3 beads and 2 stickers, he will have $0.90 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
2 beads + 3 stickers = 31.20 --- (1)
3 beads + 2 stickers = 31.20 - 0.90 = 30.30 --- (2)
(1) + (2)
5 beads + 5 stickers = 61.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 61.50 ÷ 5 = 12.30 --- (4)
Cost of 1 bead and 1 sticker = $12.30
(b)
(4)
x 2 2 beads + 2 stickers = 2 x 12.30 = 24.60 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 30.30 - 24.60
3 beads - 2 beads - 2 stickers + 2 stickers = 5.70
1 bead = 5.70
Cost of 1 bead = $5.70
(c)
Substitute 1 bead = 5.70 into (4).
1 bead + 1 sticker = 12.30
5.70 + 1 sticker = 12.30
1 sticker = 12.30 - 5.70 = 6.60
Cost of 1 sticker = $6.60
Answer(s): (a) $12.30; (b) $5.70; (c) $6.60