Adam spends $16.30 on 2 stickers and 3 beads.
A sticker costs $2.40 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 + 2.40
Total cost of 2 stickers and 3 beads
= 2(1 u + 2.40) + 3 u
= 2 u + 4.80 + 3 u
= 2 u + 3 u + 4.80
= 5 u + 4.80
5 u + 4.80 = 16.30
5 u = 16.30 - 4.80
5 u = 11.50
1 u = 11.50 ÷ 5 = 2.30
Cost of 1 sticker
= 1 u + 2.40
= 2.30 + 2.40
= $4.70
(b)
Cost of 6 stickers
= 6 x 4.70
= $28.20
(c)
Cost of 1 bead and 6 stickers
= 2.30 + 28.20
= $30.50
(d)
Cost of 6 stickers more than 1 bead
= 28.20 - 2.30
= $25.90
Answer(s): (a) $4.70; (b) $28.20; (c) $30.50; (d) $25.90