If Adam buys 3 beads and 4 stickers, it costs $39.30.
If Adam buys 4 beads and 3 stickers, he will have $6.50 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 = 39.30 --- (1)
4 beads + 3 stickers = 39.30 - 6.50 = 32.80 --- (2)
(1) + (2)
7 beads + 7 stickers = 72.10 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 72.10 ÷ 7 = 10.30 --- (4)
Cost of 1 bead and 1 sticker = $10.30
(b)
(4)
x 3 3 beads + 3 stickers = 3 x 10.30 = 30.90 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 32.80 - 30.90
4 beads - 3 beads - 3 stickers + 3 stickers = 1.90
1 bead = 1.90
Cost of 1 bead = $1.90
(c)
Substitute 1 bead = 1.90 into (4).
1 bead + 1 sticker = 10.30
1.90 + 1 sticker = 10.30
1 sticker = 10.30 - 1.90 = 8.40
Cost of 1 sticker = $8.40
Answer(s): (a) $10.30; (b) $1.90; (c) $8.40