If Adam buys 3 beads and 4 stickers, it costs $39.30.
If Adam buys 4 beads and 3 stickers, he will have $3.70 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 - 3.70 = 35.60 --- (2)
(1) + (2)
7 beads + 7 stickers = 74.90 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 74.90 ÷ 7 = 10.70 --- (4)
Cost of 1 bead and 1 sticker = $10.70
(b)
(4)
x 3 3 beads + 3 stickers = 3 x 10.70 = 32.10 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 35.60 - 32.10
4 beads - 3 beads - 3 stickers + 3 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 = 10.70
3.50 + 1 sticker = 10.70
1 sticker = 10.70 - 3.50 = 7.20
Cost of 1 sticker = $7.20
Answer(s): (a) $10.70; (b) $3.50; (c) $7.20