Adam spends $13.50 on 3 stickers and 4 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 3 stickers and 4 beads
= 3(1 u + 2.40) + 4 u
= 3 u + 7.20 + 4 u
= 3 u + 4 u + 7.20
= 7 u + 7.20
7 u + 7.20 = 13.50
7 u = 13.50 - 7.20
7 u = 6.30
1 u = 6.30 ÷ 7 = 0.90
Cost of 1 sticker
= 1 u + 2.40
= 0.90 + 2.40
= $3.30
(b)
Cost of 6 stickers
= 6 x 3.30
= $19.80
(c)
Cost of 1 bead and 6 stickers
= 0.90 + 19.80
= $20.70
(d)
Cost of 6 stickers more than 1 bead
= 19.80 - 0.90
= $18.90
Answer(s): (a) $3.30; (b) $19.80; (c) $20.70; (d) $18.90