Adam spends $13.10 on 5 stickers and 6 beads.
A sticker costs $1.30 more than 1 bead.
- How much does 1 sticker cost?
- How much do 8 stickers cost?
- How much do a bead and 8 stickers cost?
- How much do 8 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 + 1.30
Total cost of 5 stickers and 6 beads
= 5(1 u + 1.30) + 6 u
= 5 u + 6.50 + 6 u
= 5 u + 6 u + 6.50
= 11 u + 6.50
11 u + 6.50 = 13.10
11 u = 13.10 - 6.50
11 u = 6.60
1 u = 6.60 ÷ 11 = 0.60
Cost of 1 sticker
= 1 u + 1.30
= 0.60 + 1.30
= $1.90
(b)
Cost of 8 stickers
= 8 x 1.90
= $15.20
(c)
Cost of 1 bead and 8 stickers
= 0.60 + 15.20
= $15.80
(d)
Cost of 8 stickers more than 1 bead
= 15.20 - 0.60
= $14.60
Answer(s): (a) $1.90; (b) $15.20; (c) $15.80; (d) $14.60