Adam spends $14.30 on 4 stickers and 5 beads.
A sticker costs $2.90 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 + 2.90
Total cost of 4 stickers and 5 beads
= 4(1 u + 2.90) + 5 u
= 4 u + 11.60 + 5 u
= 4 u + 5 u + 11.60
= 9 u + 11.60
9 u + 11.60 = 14.30
9 u = 14.30 - 11.60
9 u = 2.70
1 u = 2.70 ÷ 9 = 0.30
Cost of 1 sticker
= 1 u + 2.90
= 0.30 + 2.90
= $3.20
(b)
Cost of 8 stickers
= 8 x 3.20
= $25.60
(c)
Cost of 1 bead and 8 stickers
= 0.30 + 25.60
= $25.90
(d)
Cost of 8 stickers more than 1 bead
= 25.60 - 0.30
= $25.30
Answer(s): (a) $3.20; (b) $25.60; (c) $25.90; (d) $25.30