Adam spends $12.80 on 4 stickers and 5 beads.
A sticker costs $2.30 more than 1 bead.
- How much does 1 sticker cost?
- How much do 6 stickers cost?
- How much do a bead and 6 stickers cost?
- How much do 6 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 4 stickers and 5 beads
= 4(1 u + 2.30) + 5 u
= 4 u + 9.20 + 5 u
= 4 u + 5 u + 9.20
= 9 u + 9.20
9 u + 9.20 = 12.80
9 u = 12.80 - 9.20
9 u = 3.60
1 u = 3.60 ÷ 9 = 0.40
Cost of 1 sticker
= 1 u + 2.30
= 0.40 + 2.30
= $2.70
(b)
Cost of 6 stickers
= 6 x 2.70
= $16.20
(c)
Cost of 1 bead and 6 stickers
= 0.40 + 16.20
= $16.60
(d)
Cost of 6 stickers more than 1 bead
= 16.20 - 0.40
= $15.80
Answer(s): (a) $2.70; (b) $16.20; (c) $16.60; (d) $15.80