Adam spends $14.50 on 3 stickers and 4 beads.
A sticker costs $1.10 more than 1 bead.
- How much does 1 sticker cost?
- How much do 7 stickers cost?
- How much do a bead and 7 stickers cost?
- How much do 7 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 + 1.10
Total cost of 3 stickers and 4 beads
= 3(1 u + 1.10) + 4 u
= 3 u + 3.30 + 4 u
= 3 u + 4 u + 3.30
= 7 u + 3.30
7 u + 3.30 = 14.50
7 u = 14.50 - 3.30
7 u = 11.20
1 u = 11.20 ÷ 7 = 1.60
Cost of 1 sticker
= 1 u + 1.10
= 1.60 + 1.10
= $2.70
(b)
Cost of 7 stickers
= 7 x 2.70
= $18.90
(c)
Cost of 1 bead and 7 stickers
= 1.60 + 18.90
= $20.50
(d)
Cost of 7 stickers more than 1 bead
= 18.90 - 1.60
= $17.30
Answer(s): (a) $2.70; (b) $18.90; (c) $20.50; (d) $17.30