Adam spends $15.70 on 2 beads and 3 stickers.
A bead costs $1.60 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 + 1.60
Total cost of 2 beads and 3 stickers
= 2(1 u + 1.60) + 3 u
= 2 u + 3.20 + 3 u
= 2 u + 3 u + 3.20
= 5 u + 3.20
5 u + 3.20 = 15.70
5 u = 15.70 - 3.20
5 u = 12.50
1 u = 12.50 ÷ 5 = 2.50
Cost of 1 bead
= 1 u + 1.60
= 2.50 + 1.60
= $4.10
(b)
Cost of 7 beads
= 7 x 4.10
= $28.70
(c)
Cost of 1 sticker and 7 beads
= 2.50 + 28.70
= $31.20
(d)
Cost of 7 beads more than 1 sticker
= 28.70 - 2.50
= $26.20
Answer(s): (a) $4.10; (b) $28.70; (c) $31.20; (d) $26.20