Adam spends $12.70 on 5 beads and 6 stickers.
A bead costs $2.10 more than 1 sticker.
- How much does 1 bead cost?
- How much do 8 beads cost?
- How much do a sticker and 8 beads cost?
- How much do 8 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 + 2.10
Total cost of 5 beads and 6 stickers
= 5(1 u + 2.10) + 6 u
= 5 u + 10.50 + 6 u
= 5 u + 6 u + 10.50
= 11 u + 10.50
11 u + 10.50 = 12.70
11 u = 12.70 - 10.50
11 u = 2.20
1 u = 2.20 ÷ 11 = 0.20
Cost of 1 bead
= 1 u + 2.10
= 0.20 + 2.10
= $2.30
(b)
Cost of 8 beads
= 8 x 2.30
= $18.40
(c)
Cost of 1 sticker and 8 beads
= 0.20 + 18.40
= $18.60
(d)
Cost of 8 beads more than 1 sticker
= 18.40 - 0.20
= $18.20
Answer(s): (a) $2.30; (b) $18.40; (c) $18.60; (d) $18.20