Adam spends $14.50 on 4 stickers and 5 beads.
A sticker costs $1.60 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 + 1.60
Total cost of 4 stickers and 5 beads
= 4(1 u + 1.60) + 5 u
= 4 u + 6.40 + 5 u
= 4 u + 5 u + 6.40
= 9 u + 6.40
9 u + 6.40 = 14.50
9 u = 14.50 - 6.40
9 u = 8.10
1 u = 8.10 ÷ 9 = 0.90
Cost of 1 sticker
= 1 u + 1.60
= 0.90 + 1.60
= $2.50
(b)
Cost of 7 stickers
= 7 x 2.50
= $17.50
(c)
Cost of 1 bead and 7 stickers
= 0.90 + 17.50
= $18.40
(d)
Cost of 7 stickers more than 1 bead
= 17.50 - 0.90
= $16.60
Answer(s): (a) $2.50; (b) $17.50; (c) $18.40; (d) $16.60