Adam spends $16.90 on 2 stickers and 3 beads.
A sticker costs $1.70 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 + 1.70
Total cost of 2 stickers and 3 beads
= 2(1 u + 1.70) + 3 u
= 2 u + 3.40 + 3 u
= 2 u + 3 u + 3.40
= 5 u + 3.40
5 u + 3.40 = 16.90
5 u = 16.90 - 3.40
5 u = 13.50
1 u = 13.50 ÷ 5 = 2.70
Cost of 1 sticker
= 1 u + 1.70
= 2.70 + 1.70
= $4.40
(b)
Cost of 8 stickers
= 8 x 4.40
= $35.20
(c)
Cost of 1 bead and 8 stickers
= 2.70 + 35.20
= $37.90
(d)
Cost of 8 stickers more than 1 bead
= 35.20 - 2.70
= $32.50
Answer(s): (a) $4.40; (b) $35.20; (c) $37.90; (d) $32.50