Adam spends $15.20 on 5 stickers and 6 beads.
A sticker costs $1.50 more than 1 bead.
- How much does 1 sticker cost?
- How much do 7 stickers cost?
- How much do a bead and 7 stickers cost?
- How much do 7 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 + 1.50
Total cost of 5 stickers and 6 beads
= 5(1 u + 1.50) + 6 u
= 5 u + 7.50 + 6 u
= 5 u + 6 u + 7.50
= 11 u + 7.50
11 u + 7.50 = 15.20
11 u = 15.20 - 7.50
11 u = 7.70
1 u = 7.70 ÷ 11 = 0.70
Cost of 1 sticker
= 1 u + 1.50
= 0.70 + 1.50
= $2.20
(b)
Cost of 7 stickers
= 7 x 2.20
= $15.40
(c)
Cost of 1 bead and 7 stickers
= 0.70 + 15.40
= $16.10
(d)
Cost of 7 stickers more than 1 bead
= 15.40 - 0.70
= $14.70
Answer(s): (a) $2.20; (b) $15.40; (c) $16.10; (d) $14.70