If Adam buys 5 beads and 6 stickers, it costs $67.30.
If Adam buys 6 beads and 5 stickers, he will have $4.80 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 = 67.30 --- (1)
6 beads + 5 stickers = 67.30 - 4.80 = 62.50 --- (2)
(1) + (2)
11 beads + 11 stickers = 129.80 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 129.80 ÷ 11 = 11.80 --- (4)
Cost of 1 bead and 1 sticker = $11.80
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 11.80 = 590 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 62.50 - 590
6 beads - 5 beads - 5 stickers + 5 stickers = 3.50
1 bead = 3.50
Cost of 1 bead = $3.50
(c)
Substitute 1 bead = 3.50 into (4).
1 bead + 1 sticker = 11.80
3.50 + 1 sticker = 11.80
1 sticker = 11.80 - 3.50 = 8.30
Cost of 1 sticker = $8.30
Answer(s): (a) $11.80; (b) $3.50; (c) $8.30