If Adam buys 5 stickers and 6 beads, it costs $67.80.
If Adam buys 6 stickers and 5 beads, he will have $6.90 left.
- Find the cost of 1 sticker and 1 bead.
- Find the cost of 1 sticker.
- Find the cost of 1 bead.
(a)
5 stickers + 6 beads = 67.80 --- (1)
6 stickers + 5 beads = 67.80 - 6.90 = 60.90 --- (2)
(1) + (2)
11 stickers + 11 beads = 128.70 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 128.70 ÷ 11 = 11.70 --- (4)
Cost of 1 sticker and 1 bead = $11.70
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 11.70 = 58.50 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 60.90 - 58.50
6 stickers - 5 stickers - 5 beads + 5 beads = 2.40
1 sticker = 2.40
Cost of 1 sticker = $2.40
(c)
Substitute 1 sticker = 2.40 into (4).
1 sticker + 1 bead = 11.70
2.40 + 1 bead = 11.70
1 bead = 11.70 - 2.40 = 9.30
Cost of 1 bead = $9.30
Answer(s): (a) $11.70; (b) $2.40; (c) $9.30