If Adam buys 5 beads and 6 stickers, it costs $52.30.
If Adam buys 6 beads and 5 stickers, he will have $6.70 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 = 52.30 --- (1)
6 beads + 5 stickers = 52.30 - 6.70 = 45.60 --- (2)
(1) + (2)
11 beads + 11 stickers = 97.90 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 97.90 ÷ 11 = 8.90 --- (4)
Cost of 1 bead and 1 sticker = $8.90
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 8.90 = 44.50 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 45.60 - 44.50
6 beads - 5 beads - 5 stickers + 5 stickers = 1.10
1 bead = 1.10
Cost of 1 bead = $1.10
(c)
Substitute 1 bead = 1.10 into (4).
1 bead + 1 sticker = 8.90
1.10 + 1 sticker = 8.90
1 sticker = 8.90 - 1.10 = 7.80
Cost of 1 sticker = $7.80
Answer(s): (a) $8.90; (b) $1.10; (c) $7.80