If Adam buys 3 beads and 4 stickers, it costs $52.40.
If Adam buys 4 beads and 3 stickers, he will have $3.30 left.
- 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 = 52.40 --- (1)
4 beads + 3 stickers = 52.40 - 3.30 = 49.10 --- (2)
(1) + (2)
7 beads + 7 stickers = 101.50 --- (3)
(3)
÷ 7 1 bead + 1 sticker = 101.50 ÷ 7 = 14.50 --- (4)
Cost of 1 bead and 1 sticker = $14.50
(b)
(4)
x 3 3 beads + 3 stickers = 3 x 14.50 = 43.50 --- (5)
(2) - (5)
4 beads + 3 stickers - 3 beads - 3 stickers = 49.10 - 43.50
4 beads - 3 beads - 3 stickers + 3 stickers = 5.60
1 bead = 5.60
Cost of 1 bead = $5.60
(c)
Substitute 1 bead = 5.60 into (4).
1 bead + 1 sticker = 14.50
5.60 + 1 sticker = 14.50
1 sticker = 14.50 - 5.60 = 8.90
Cost of 1 sticker = $8.90
Answer(s): (a) $14.50; (b) $5.60; (c) $8.90