Adam spends $12.30 on 2 stickers and 3 beads.
A sticker costs $2.40 more than 1 bead.
- How much does 1 sticker cost?
- How much do 8 stickers cost?
- How much do a bead and 8 stickers cost?
- How much do 8 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 + 2.40
Total cost of 2 stickers and 3 beads
= 2(1 u + 2.40) + 3 u
= 2 u + 4.80 + 3 u
= 2 u + 3 u + 4.80
= 5 u + 4.80
5 u + 4.80 = 12.30
5 u = 12.30 - 4.80
5 u = 7.50
1 u = 7.50 ÷ 5 = 1.50
Cost of 1 sticker
= 1 u + 2.40
= 1.50 + 2.40
= $3.90
(b)
Cost of 8 stickers
= 8 x 3.90
= $31.20
(c)
Cost of 1 bead and 8 stickers
= 1.50 + 31.20
= $32.70
(d)
Cost of 8 stickers more than 1 bead
= 31.20 - 1.50
= $29.70
Answer(s): (a) $3.90; (b) $31.20; (c) $32.70; (d) $29.70