Adam spends $14.80 on 3 stickers and 4 beads.
A sticker costs $1.90 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 + 1.90
Total cost of 3 stickers and 4 beads
= 3(1 u + 1.90) + 4 u
= 3 u + 5.70 + 4 u
= 3 u + 4 u + 5.70
= 7 u + 5.70
7 u + 5.70 = 14.80
7 u = 14.80 - 5.70
7 u = 9.10
1 u = 9.10 ÷ 7 = 1.30
Cost of 1 sticker
= 1 u + 1.90
= 1.30 + 1.90
= $3.20
(b)
Cost of 6 stickers
= 6 x 3.20
= $19.20
(c)
Cost of 1 bead and 6 stickers
= 1.30 + 19.20
= $20.50
(d)
Cost of 6 stickers more than 1 bead
= 19.20 - 1.30
= $17.90
Answer(s): (a) $3.20; (b) $19.20; (c) $20.50; (d) $17.90