Adam spends $14.70 on 2 stickers and 3 beads.
A sticker costs $1.60 more than 1 bead.
- How much does 1 sticker cost?
- How much do 6 stickers cost?
- How much do a bead and 6 stickers cost?
- How much do 6 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 2 stickers and 3 beads
= 2(1 u + 1.60) + 3 u
= 2 u + 3.20 + 3 u
= 2 u + 3 u + 3.20
= 5 u + 3.20
5 u + 3.20 = 14.70
5 u = 14.70 - 3.20
5 u = 11.50
1 u = 11.50 ÷ 5 = 2.30
Cost of 1 sticker
= 1 u + 1.60
= 2.30 + 1.60
= $3.90
(b)
Cost of 6 stickers
= 6 x 3.90
= $23.40
(c)
Cost of 1 bead and 6 stickers
= 2.30 + 23.40
= $25.70
(d)
Cost of 6 stickers more than 1 bead
= 23.40 - 2.30
= $21.10
Answer(s): (a) $3.90; (b) $23.40; (c) $25.70; (d) $21.10