If Adam buys 5 beads and 6 stickers, it costs $78.20.
If Adam buys 6 beads and 5 stickers, he will have $4.60 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 = 78.20 --- (1)
6 beads + 5 stickers = 78.20 - 4.60 = 73.60 --- (2)
(1) + (2)
11 beads + 11 stickers = 151.80 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 151.80 ÷ 11 = 13.80 --- (4)
Cost of 1 bead and 1 sticker = $13.80
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 13.80 = 690 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 73.60 - 690
6 beads - 5 beads - 5 stickers + 5 stickers = 4.60
1 bead = 4.60
Cost of 1 bead = $4.60
(c)
Substitute 1 bead = 4.60 into (4).
1 bead + 1 sticker = 13.80
4.60 + 1 sticker = 13.80
1 sticker = 13.80 - 4.60 = 9.20
Cost of 1 sticker = $9.20
Answer(s): (a) $13.80; (b) $4.60; (c) $9.20