If Adam buys 5 beads and 6 stickers, it costs $76.10.
If Adam buys 6 beads and 5 stickers, he will have $5.90 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 = 76.10 --- (1)
6 beads + 5 stickers = 76.10 - 5.90 = 70.20 --- (2)
(1) + (2)
11 beads + 11 stickers = 146.30 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 146.30 ÷ 11 = 13.30 --- (4)
Cost of 1 bead and 1 sticker = $13.30
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 13.30 = 66.50 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 70.20 - 66.50
6 beads - 5 beads - 5 stickers + 5 stickers = 3.70
1 bead = 3.70
Cost of 1 bead = $3.70
(c)
Substitute 1 bead = 3.70 into (4).
1 bead + 1 sticker = 13.30
3.70 + 1 sticker = 13.30
1 sticker = 13.30 - 3.70 = 9.60
Cost of 1 sticker = $9.60
Answer(s): (a) $13.30; (b) $3.70; (c) $9.60