Adam spends $12.50 on 3 stickers and 4 beads.
A sticker costs $1.60 more than 1 bead.
- How much does 1 sticker cost?
- How much do 4 stickers cost?
- How much do a bead and 4 stickers cost?
- How much do 4 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 3 stickers and 4 beads
= 3(1 u + 1.60) + 4 u
= 3 u + 4.80 + 4 u
= 3 u + 4 u + 4.80
= 7 u + 4.80
7 u + 4.80 = 12.50
7 u = 12.50 - 4.80
7 u = 7.70
1 u = 7.70 ÷ 7 = 1.10
Cost of 1 sticker
= 1 u + 1.60
= 1.10 + 1.60
= $2.70
(b)
Cost of 4 stickers
= 4 x 2.70
= $10.80
(c)
Cost of 1 bead and 4 stickers
= 1.10 + 10.80
= $11.90
(d)
Cost of 4 stickers more than 1 bead
= 10.80 - 1.10
= $9.70
Answer(s): (a) $2.70; (b) $10.80; (c) $11.90; (d) $9.70