Adam spends $12.70 on 2 stickers and 3 beads.
A sticker costs $2.10 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 + 2.10
Total cost of 2 stickers and 3 beads
= 2(1 u + 2.10) + 3 u
= 2 u + 4.20 + 3 u
= 2 u + 3 u + 4.20
= 5 u + 4.20
5 u + 4.20 = 12.70
5 u = 12.70 - 4.20
5 u = 8.50
1 u = 8.50 ÷ 5 = 1.70
Cost of 1 sticker
= 1 u + 2.10
= 1.70 + 2.10
= $3.80
(b)
Cost of 4 stickers
= 4 x 3.80
= $15.20
(c)
Cost of 1 bead and 4 stickers
= 1.70 + 15.20
= $16.90
(d)
Cost of 4 stickers more than 1 bead
= 15.20 - 1.70
= $13.50
Answer(s): (a) $3.80; (b) $15.20; (c) $16.90; (d) $13.50