Adam spends $15.70 on 2 stickers and 3 beads.
A sticker costs $1.60 more than 1 bead.
- How much does 1 sticker cost?
- How much do 3 stickers cost?
- How much do a bead and 3 stickers cost?
- How much do 3 stickers cost more than 1 bead?
(a)
Let the cheaper item be 1 u.
Cost of 1 bead = 1 u
Cost of 1 sticker = 1 u + 1.60
Total cost of 2 stickers and 3 beads
= 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 sticker
= 1 u + 1.60
= 2.50 + 1.60
= $4.10
(b)
Cost of 3 stickers
= 3 x 4.10
= $12.30
(c)
Cost of 1 bead and 3 stickers
= 2.50 + 12.30
= $14.80
(d)
Cost of 3 stickers more than 1 bead
= 12.30 - 2.50
= $9.80
Answer(s): (a) $4.10; (b) $12.30; (c) $14.80; (d) $9.80
