If Adam buys 5 stickers and 6 beads, it costs $67.80.
If Adam buys 6 stickers and 5 beads, he will have $4.70 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 - 4.70 = 63.10 --- (2)
(1) + (2)
11 stickers + 11 beads = 130.90 --- (3)
(3)
÷ 11 1 sticker + 1 bead = 130.90 ÷ 11 = 11.90 --- (4)
Cost of 1 sticker and 1 bead = $11.90
(b)
(4)
x 5 5 stickers + 5 beads = 5 x 11.90 = 59.50 --- (5)
(2) - (5)
6 stickers + 5 beads - 5 stickers - 5 beads = 63.10 - 59.50
6 stickers - 5 stickers - 5 beads + 5 beads = 3.60
1 sticker = 3.60
Cost of 1 sticker = $3.60
(c)
Substitute 1 sticker = 3.60 into (4).
1 sticker + 1 bead = 11.90
3.60 + 1 bead = 11.90
1 bead = 11.90 - 3.60 = 8.30
Cost of 1 bead = $8.30
Answer(s): (a) $11.90; (b) $3.60; (c) $8.30