If Adam buys 3 beads and 4 stickers, it costs $400.
If Adam buys 4 beads and 3 stickers, he will need another $3.30.
- 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 = 400 --- (1)
4 beads + 3 stickers = 400 + 3.30 = 43.30 --- (2)
(1) + (2)
7 beads + 7 stickers = 83.30 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 83.30 ÷ 7 = 11.90 --- (4)
Cost of 1 bead and 1 sticker = $11.90
(b)
4 beads + 3 stickers = 43.30 --- (2)
(4)
x 3 3 beads + 3 stickers = 3 x 11.90 = 35.70 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 43.30 - 35.70
4 beads - 3 beads + 3 stickers - 3 stickers = 7.60
1 bead = 7.60
Cost of 1 bead = $7.60
(c)
Substitute 1 bead = 7.60 into (4).
1 bead + 1 sticker = 11.90
7.60 + 1 sticker = 11.90
1 sticker = 11.90 - 7.60 = 4.30
Cost of 1 sticker = $4.30
Answer(s): (a) $11.90; (b) $7.60; (c) $4.30