Adam spends $12.90 on 3 stickers and 4 beads.
A sticker costs $1.50 more than 1 bead.
- How much does 1 sticker cost?
- How much do 5 stickers cost?
- How much do a bead and 5 stickers cost?
- How much do 5 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 + 1.50
Total cost of 3 stickers and 4 beads
= 3(1 u + 1.50) + 4 u
= 3 u + 4.50 + 4 u
= 3 u + 4 u + 4.50
= 7 u + 4.50
7 u + 4.50 = 12.90
7 u = 12.90 - 4.50
7 u = 8.40
1 u = 8.40 ÷ 7 = 1.20
Cost of 1 sticker
= 1 u + 1.50
= 1.20 + 1.50
= $2.70
(b)
Cost of 5 stickers
= 5 x 2.70
= $13.50
(c)
Cost of 1 bead and 5 stickers
= 1.20 + 13.50
= $14.70
(d)
Cost of 5 stickers more than 1 bead
= 13.50 - 1.20
= $12.30
Answer(s): (a) $2.70; (b) $13.50; (c) $14.70; (d) $12.30