Adam spends $15.20 on 4 stickers and 5 beads.
A sticker costs $2.90 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 + 2.90
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 = 15.20
9 u = 15.20 - 11.60
9 u = 3.60
1 u = 3.60 ÷ 9 = 0.40
Cost of 1 sticker
= 1 u + 2.90
= 0.40 + 2.90
= $3.30
(b)
Cost of 6 stickers
= 6 x 3.30
= $19.80
(c)
Cost of 1 bead and 6 stickers
= 0.40 + 19.80
= $20.20
(d)
Cost of 6 stickers more than 1 bead
= 19.80 - 0.40
= $19.40
Answer(s): (a) $3.30; (b) $19.80; (c) $20.20; (d) $19.40