If Adam buys 3 beads and 4 stickers, it costs $44.90.
If Adam buys 4 beads and 3 stickers, he will have $1.60 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
3 beads + 4 stickers = 44.90 --- (1)
4 beads + 3 stickers = 44.90 - 1.60 = 43.30 --- (2)
(1) + (2)
7 beads + 7 stickers = 88.20 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 88.20 ÷ 7 = 12.60 --- (4)
Cost of 1 bead and 1 sticker = $12.60
(b)
(4)
x 3 3 beads + 3 stickers = 3 x 12.60 = 37.80 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 43.30 - 37.80
4 beads - 3 beads - 3 stickers + 3 stickers = 5.50
1 bead = 5.50
Cost of 1 bead = $5.50
(c)
Substitute 1 bead = 5.50 into (4).
1 bead + 1 sticker = 12.60
5.50 + 1 sticker = 12.60
1 sticker = 12.60 - 5.50 = 7.10
Cost of 1 sticker = $7.10
Answer(s): (a) $12.60; (b) $5.50; (c) $7.10