Adam spends $15.70 on 2 beads and 3 stickers.
A bead costs $2.10 more than 1 sticker.
- How much does 1 bead cost?
- How much do 3 beads cost?
- How much do a sticker and 3 beads cost?
- How much do 3 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 2 beads and 3 stickers
= 2(1 u + 2.10) + 3 u
= 2 u + 4.20 + 3 u
= 2 u + 3 u + 4.20
= 5 u + 4.20
5 u + 4.20 = 15.70
5 u = 15.70 - 4.20
5 u = 11.50
1 u = 11.50 ÷ 5 = 2.30
Cost of 1 bead
= 1 u + 2.10
= 2.30 + 2.10
= $4.40
(b)
Cost of 3 beads
= 3 x 4.40
= $13.20
(c)
Cost of 1 sticker and 3 beads
= 2.30 + 13.20
= $15.50
(d)
Cost of 3 beads more than 1 sticker
= 13.20 - 2.30
= $10.90
Answer(s): (a) $4.40; (b) $13.20; (c) $15.50; (d) $10.90