Adam spends $12.60 on 5 stickers and 6 beads.
A sticker costs $2.30 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 + 2.30
Total cost of 5 stickers and 6 beads
= 5(1 u + 2.30) + 6 u
= 5 u + 11.50 + 6 u
= 5 u + 6 u + 11.50
= 11 u + 11.50
11 u + 11.50 = 12.60
11 u = 12.60 - 11.50
11 u = 1.10
1 u = 1.10 ÷ 11 = 0.10
Cost of 1 sticker
= 1 u + 2.30
= 0.10 + 2.30
= $2.40
(b)
Cost of 8 stickers
= 8 x 2.40
= $19.20
(c)
Cost of 1 bead and 8 stickers
= 0.10 + 19.20
= $19.30
(d)
Cost of 8 stickers more than 1 bead
= 19.20 - 0.10
= $19.10
Answer(s): (a) $2.40; (b) $19.20; (c) $19.30; (d) $19.10