If Adam buys 2 beads and 3 stickers, it costs $26.80.
If Adam buys 3 beads and 2 stickers, he will have $3.10 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 = 26.80 --- (1)
3 beads + 2 stickers = 26.80 - 3.10 = 23.70 --- (2)
(1) + (2)
5 beads + 5 stickers = 50.50 --- (3)
(3)
÷ 5 1 bead + 1 sticker = 50.50 ÷ 5 = 10.10 --- (4)
Cost of 1 bead and 1 sticker = $10.10
(b)
(4)
x 2 2 beads + 2 stickers = 2 x 10.10 = 20.20 --- (5)
(2) - (5)
3 beads + 2 stickers - 2 beads - 2 stickers = 23.70 - 20.20
3 beads - 2 beads - 2 stickers + 2 stickers = 3.50
1 bead = 3.50
Cost of 1 bead = $3.50
(c)
Substitute 1 bead = 3.50 into (4).
1 bead + 1 sticker = 10.10
3.50 + 1 sticker = 10.10
1 sticker = 10.10 - 3.50 = 6.60
Cost of 1 sticker = $6.60
Answer(s): (a) $10.10; (b) $3.50; (c) $6.60