Adam spends $15.30 on 3 stickers and 4 beads.
A sticker costs $2.30 more than 1 bead.
- How much does 1 sticker cost?
- How much do 5 stickers cost?
- How much do a bead and 5 stickers cost?
- How much do 5 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 = 15.30
7 u = 15.30 - 6.90
7 u = 8.40
1 u = 8.40 ÷ 7 = 1.20
Cost of 1 sticker
= 1 u + 2.30
= 1.20 + 2.30
= $3.50
(b)
Cost of 5 stickers
= 5 x 3.50
= $17.50
(c)
Cost of 1 bead and 5 stickers
= 1.20 + 17.50
= $18.70
(d)
Cost of 5 stickers more than 1 bead
= 17.50 - 1.20
= $16.30
Answer(s): (a) $3.50; (b) $17.50; (c) $18.70; (d) $16.30