Adam spends $16.70 on 2 stickers and 3 beads.
A sticker costs $1.60 more than 1 bead.
- How much does 1 sticker cost?
- How much do 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 + 1.60
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 = 16.70
5 u = 16.70 - 3.20
5 u = 13.50
1 u = 13.50 ÷ 5 = 2.70
Cost of 1 sticker
= 1 u + 1.60
= 2.70 + 1.60
= $4.30
(b)
Cost of 8 stickers
= 8 x 4.30
= $34.40
(c)
Cost of 1 bead and 8 stickers
= 2.70 + 34.40
= $37.10
(d)
Cost of 8 stickers more than 1 bead
= 34.40 - 2.70
= $31.70
Answer(s): (a) $4.30; (b) $34.40; (c) $37.10; (d) $31.70