Adam spends $14.10 on 2 beads and 3 stickers.
A bead costs $2.30 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 + 2.30
Total cost of 2 beads and 3 stickers
= 2(1 u + 2.30) + 3 u
= 2 u + 4.60 + 3 u
= 2 u + 3 u + 4.60
= 5 u + 4.60
5 u + 4.60 = 14.10
5 u = 14.10 - 4.60
5 u = 9.50
1 u = 9.50 ÷ 5 = 1.90
Cost of 1 bead
= 1 u + 2.30
= 1.90 + 2.30
= $4.20
(b)
Cost of 7 beads
= 7 x 4.20
= $29.40
(c)
Cost of 1 sticker and 7 beads
= 1.90 + 29.40
= $31.30
(d)
Cost of 7 beads more than 1 sticker
= 29.40 - 1.90
= $27.50
Answer(s): (a) $4.20; (b) $29.40; (c) $31.30; (d) $27.50