Adam spends $14.70 on 2 stickers and 3 beads.
A sticker costs $2.60 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 + 2.60
Total cost of 2 stickers and 3 beads
= 2(1 u + 2.60) + 3 u
= 2 u + 5.20 + 3 u
= 2 u + 3 u + 5.20
= 5 u + 5.20
5 u + 5.20 = 14.70
5 u = 14.70 - 5.20
5 u = 9.50
1 u = 9.50 ÷ 5 = 1.90
Cost of 1 sticker
= 1 u + 2.60
= 1.90 + 2.60
= $4.50
(b)
Cost of 3 stickers
= 3 x 4.50
= $13.50
(c)
Cost of 1 bead and 3 stickers
= 1.90 + 13.50
= $15.40
(d)
Cost of 3 stickers more than 1 bead
= 13.50 - 1.90
= $11.60
Answer(s): (a) $4.50; (b) $13.50; (c) $15.40; (d) $11.60