If Adam buys 5 beads and 6 stickers, it costs $65.10.
If Adam buys 6 beads and 5 stickers, he will have $2.60 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 = 65.10 --- (1)
6 beads + 5 stickers = 65.10 - 2.60 = 62.50 --- (2)
(1) + (2)
11 beads + 11 stickers = 127.60 --- (3)
(3)
÷ 11 1 bead + 1 sticker = 127.60 ÷ 11 = 11.60 --- (4)
Cost of 1 bead and 1 sticker = $11.60
(b)
(4)
x 5 5 beads + 5 stickers = 5 x 11.60 = 580 --- (5)
(2) - (5)
6 beads + 5 stickers - 5 beads - 5 stickers = 62.50 - 580
6 beads - 5 beads - 5 stickers + 5 stickers = 4.50
1 bead = 4.50
Cost of 1 bead = $4.50
(c)
Substitute 1 bead = 4.50 into (4).
1 bead + 1 sticker = 11.60
4.50 + 1 sticker = 11.60
1 sticker = 11.60 - 4.50 = 7.10
Cost of 1 sticker = $7.10
Answer(s): (a) $11.60; (b) $4.50; (c) $7.10