Adam spends $14.40 on 4 stickers and 5 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 4 stickers and 5 beads
= 4(1 u + 2.70) + 5 u
= 4 u + 10.80 + 5 u
= 4 u + 5 u + 10.80
= 9 u + 10.80
9 u + 10.80 = 14.40
9 u = 14.40 - 10.80
9 u = 3.60
1 u = 3.60 ÷ 9 = 0.40
Cost of 1 sticker
= 1 u + 2.70
= 0.40 + 2.70
= $3.10
(b)
Cost of 7 stickers
= 7 x 3.10
= $21.70
(c)
Cost of 1 bead and 7 stickers
= 0.40 + 21.70
= $22.10
(d)
Cost of 7 stickers more than 1 bead
= 21.70 - 0.40
= $21.30
Answer(s): (a) $3.10; (b) $21.70; (c) $22.10; (d) $21.30