If Adam buys 5 beads and 6 stickers, it costs $55.30.
If Adam buys 6 beads and 5 stickers, he will have $3.90 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 = 55.30 --- (1)
6 beads + 5 stickers = 55.30 - 3.90 = 51.40 --- (2)
(1) + (2)
11 beads + 11 stickers = 106.70 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 106.70 ÷ 11 = 9.70 --- (4)
Cost of 1 bead and 1 sticker = $9.70
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 9.70 = 48.50 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 51.40 - 48.50
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 = 9.70
2.90 + 1 sticker = 9.70
1 sticker = 9.70 - 2.90 = 6.80
Cost of 1 sticker = $6.80
Answer(s): (a) $9.70; (b) $2.90; (c) $6.80