Adam spends $12.50 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 = 12.50
7 u = 12.50 - 6.90
7 u = 5.60
1 u = 5.60 ÷ 7 = 0.80
Cost of 1 sticker
= 1 u + 2.30
= 0.80 + 2.30
= $3.10
(b)
Cost of 6 stickers
= 6 x 3.10
= $18.60
(c)
Cost of 1 bead and 6 stickers
= 0.80 + 18.60
= $19.40
(d)
Cost of 6 stickers more than 1 bead
= 18.60 - 0.80
= $17.80
Answer(s): (a) $3.10; (b) $18.60; (c) $19.40; (d) $17.80