Adam spends $14.60 on 3 stickers and 4 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 3 stickers and 4 beads
= 3(1 u + 2.30) + 4 u
= 3 u + 6.90 + 4 u
= 3 u + 4 u + 6.90
= 7 u + 6.90
7 u + 6.90 = 14.60
7 u = 14.60 - 6.90
7 u = 7.70
1 u = 7.70 ÷ 7 = 1.10
Cost of 1 sticker
= 1 u + 2.30
= 1.10 + 2.30
= $3.40
(b)
Cost of 6 stickers
= 6 x 3.40
= $20.40
(c)
Cost of 1 bead and 6 stickers
= 1.10 + 20.40
= $21.50
(d)
Cost of 6 stickers more than 1 bead
= 20.40 - 1.10
= $19.30
Answer(s): (a) $3.40; (b) $20.40; (c) $21.50; (d) $19.30