Adam spends $14.60 on 5 stickers and 6 beads.
A sticker costs $2.70 more than 1 bead.
- How much does 1 sticker cost?
- How much do 7 stickers cost?
- How much do a bead and 7 stickers cost?
- How much do 7 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 + 2.70
Total cost of 5 stickers and 6 beads
= 5(1 u + 2.70) + 6 u
= 5 u + 13.50 + 6 u
= 5 u + 6 u + 13.50
= 11 u + 13.50
11 u + 13.50 = 14.60
11 u = 14.60 - 13.50
11 u = 1.10
1 u = 1.10 ÷ 11 = 0.10
Cost of 1 sticker
= 1 u + 2.70
= 0.10 + 2.70
= $2.80
(b)
Cost of 7 stickers
= 7 x 2.80
= $19.60
(c)
Cost of 1 bead and 7 stickers
= 0.10 + 19.60
= $19.70
(d)
Cost of 7 stickers more than 1 bead
= 19.60 - 0.10
= $19.50
Answer(s): (a) $2.80; (b) $19.60; (c) $19.70; (d) $19.50