Adam spends $12.30 on 3 stickers and 4 beads.
A sticker costs $2.70 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 + 2.70
Total cost of 3 stickers and 4 beads
= 3(1 u + 2.70) + 4 u
= 3 u + 8.10 + 4 u
= 3 u + 4 u + 8.10
= 7 u + 8.10
7 u + 8.10 = 12.30
7 u = 12.30 - 8.10
7 u = 4.20
1 u = 4.20 ÷ 7 = 0.60
Cost of 1 sticker
= 1 u + 2.70
= 0.60 + 2.70
= $3.30
(b)
Cost of 6 stickers
= 6 x 3.30
= $19.80
(c)
Cost of 1 bead and 6 stickers
= 0.60 + 19.80
= $20.40
(d)
Cost of 6 stickers more than 1 bead
= 19.80 - 0.60
= $19.20
Answer(s): (a) $3.30; (b) $19.80; (c) $20.40; (d) $19.20