If Adam buys 5 beads and 6 stickers, it costs $63.90.
If Adam buys 6 beads and 5 stickers, he will have $3.50 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 = 63.90 --- (1)
6 beads + 5 stickers = 63.90 - 3.50 = 60.40 --- (2)
(1) + (2)
11 beads + 11 stickers = 124.30 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 124.30 ÷ 11 = 11.30 --- (4)
Cost of 1 bead and 1 sticker = $11.30
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 11.30 = 56.50 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 60.40 - 56.50
6 beads - 5 beads - 5 stickers + 5 stickers = 3.90
1 bead = 3.90
Cost of 1 bead = $3.90
(c)
Substitute 1 bead = 3.90 into (4).
1 bead + 1 sticker = 11.30
3.90 + 1 sticker = 11.30
1 sticker = 11.30 - 3.90 = 7.40
Cost of 1 sticker = $7.40
Answer(s): (a) $11.30; (b) $3.90; (c) $7.40