Adam spends $16.70 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 = 16.70
5 u = 16.70 - 3.20
5 u = 13.50
1 u = 13.50 ÷ 5 = 2.70
Cost of 1 bead
= 1 u + 1.60
= 2.70 + 1.60
= $4.30
(b)
Cost of 7 beads
= 7 x 4.30
= $30.10
(c)
Cost of 1 sticker and 7 beads
= 2.70 + 30.10
= $32.80
(d)
Cost of 7 beads more than 1 sticker
= 30.10 - 2.70
= $27.40
Answer(s): (a) $4.30; (b) $30.10; (c) $32.80; (d) $27.40