Adam spends $14.10 on 2 stickers and 3 beads.
A sticker costs $1.80 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 + 1.80
Total cost of 2 stickers and 3 beads
= 2(1 u + 1.80) + 3 u
= 2 u + 3.60 + 3 u
= 2 u + 3 u + 3.60
= 5 u + 3.60
5 u + 3.60 = 14.10
5 u = 14.10 - 3.60
5 u = 10.50
1 u = 10.50 ÷ 5 = 2.10
Cost of 1 sticker
= 1 u + 1.80
= 2.10 + 1.80
= $3.90
(b)
Cost of 7 stickers
= 7 x 3.90
= $27.30
(c)
Cost of 1 bead and 7 stickers
= 2.10 + 27.30
= $29.40
(d)
Cost of 7 stickers more than 1 bead
= 27.30 - 2.10
= $25.20
Answer(s): (a) $3.90; (b) $27.30; (c) $29.40; (d) $25.20