Adam spends $12.60 on 4 beads and 5 stickers.
A bead costs $2.70 more than 1 sticker.
- How much does 1 bead cost?
- How much do 7 beads cost?
- How much do a sticker and 7 beads cost?
- How much do 7 beads cost more than 1 sticker?
(a)
Let the cheaper item be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 bead = 1 u + 2.70
Total cost of 4 beads and 5 stickers
= 4(1 u + 2.70) + 5 u
= 4 u + 10.80 + 5 u
= 4 u + 5 u + 10.80
= 9 u + 10.80
9 u + 10.80 = 12.60
9 u = 12.60 - 10.80
9 u = 1.80
1 u = 1.80 ÷ 9 = 0.20
Cost of 1 bead
= 1 u + 2.70
= 0.20 + 2.70
= $2.90
(b)
Cost of 7 beads
= 7 x 2.90
= $20.30
(c)
Cost of 1 sticker and 7 beads
= 0.20 + 20.30
= $20.50
(d)
Cost of 7 beads more than 1 sticker
= 20.30 - 0.20
= $20.10
Answer(s): (a) $2.90; (b) $20.30; (c) $20.50; (d) $20.10