If Adam buys 5 beads and 6 stickers, it costs $64.30.
If Adam buys 6 beads and 5 stickers, he will have $5.40 left.
- Find the cost of 1 bead and 1 sticker.
- Find the cost of 1 bead.
- Find the cost of 1 sticker.
(a)
5 beads + 6 stickers = 64.30 --- (1)
6 beads + 5 stickers = 64.30 - 5.40 = 58.90 --- (2)
(1) + (2)
11 beads + 11 stickers = 123.20 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 123.20 ÷ 11 = 11.20 --- (4)
Cost of 1 bead and 1 sticker = $11.20
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 11.20 = 560 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 58.90 - 560
6 beads - 5 beads - 5 stickers + 5 stickers = 2.90
1 bead = 2.90
Cost of 1 bead = $2.90
(c)
Substitute 1 bead = 2.90 into (4).
1 bead + 1 sticker = 11.20
2.90 + 1 sticker = 11.20
1 sticker = 11.20 - 2.90 = 8.30
Cost of 1 sticker = $8.30
Answer(s): (a) $11.20; (b) $2.90; (c) $8.30