Adam spends $14.80 on 5 stickers and 6 beads.
A sticker costs $2.30 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 + 2.30
Total cost of 5 stickers and 6 beads
= 5(1 u + 2.30) + 6 u
= 5 u + 11.50 + 6 u
= 5 u + 6 u + 11.50
= 11 u + 11.50
11 u + 11.50 = 14.80
11 u = 14.80 - 11.50
11 u = 3.30
1 u = 3.30 ÷ 11 = 0.30
Cost of 1 sticker
= 1 u + 2.30
= 0.30 + 2.30
= $2.60
(b)
Cost of 8 stickers
= 8 x 2.60
= $20.80
(c)
Cost of 1 bead and 8 stickers
= 0.30 + 20.80
= $21.10
(d)
Cost of 8 stickers more than 1 bead
= 20.80 - 0.30
= $20.50
Answer(s): (a) $2.60; (b) $20.80; (c) $21.10; (d) $20.50