Adam spends $12.90 on 2 stickers and 3 beads.
A sticker costs $1.70 more than 1 bead.
- How much does 1 sticker cost?
- How much do 3 stickers cost?
- How much do a bead and 3 stickers cost?
- How much do 3 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 = 12.90
5 u = 12.90 - 3.40
5 u = 9.50
1 u = 9.50 ÷ 5 = 1.90
Cost of 1 sticker
= 1 u + 1.70
= 1.90 + 1.70
= $3.60
(b)
Cost of 3 stickers
= 3 x 3.60
= $10.80
(c)
Cost of 1 bead and 3 stickers
= 1.90 + 10.80
= $12.70
(d)
Cost of 3 stickers more than 1 bead
= 10.80 - 1.90
= $8.90
Answer(s): (a) $3.60; (b) $10.80; (c) $12.70; (d) $8.90