Adam spends $14.10 on 2 beads and 3 stickers.
A bead costs $2.80 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 + 2.80
Total cost of 2 beads and 3 stickers
= 2(1 u + 2.80) + 3 u
= 2 u + 5.60 + 3 u
= 2 u + 3 u + 5.60
= 5 u + 5.60
5 u + 5.60 = 14.10
5 u = 14.10 - 5.60
5 u = 8.50
1 u = 8.50 ÷ 5 = 1.70
Cost of 1 bead
= 1 u + 2.80
= 1.70 + 2.80
= $4.50
(b)
Cost of 3 beads
= 3 x 4.50
= $13.50
(c)
Cost of 1 sticker and 3 beads
= 1.70 + 13.50
= $15.20
(d)
Cost of 3 beads more than 1 sticker
= 13.50 - 1.70
= $11.80
Answer(s): (a) $4.50; (b) $13.50; (c) $15.20; (d) $11.80