Adam spends $14.30 on 2 stickers and 3 beads.
A sticker costs $2.90 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 + 2.90
Total cost of 2 stickers and 3 beads
= 2(1 u + 2.90) + 3 u
= 2 u + 5.80 + 3 u
= 2 u + 3 u + 5.80
= 5 u + 5.80
5 u + 5.80 = 14.30
5 u = 14.30 - 5.80
5 u = 8.50
1 u = 8.50 ÷ 5 = 1.70
Cost of 1 sticker
= 1 u + 2.90
= 1.70 + 2.90
= $4.60
(b)
Cost of 6 stickers
= 6 x 4.60
= $27.60
(c)
Cost of 1 bead and 6 stickers
= 1.70 + 27.60
= $29.30
(d)
Cost of 6 stickers more than 1 bead
= 27.60 - 1.70
= $25.90
Answer(s): (a) $4.60; (b) $27.60; (c) $29.30; (d) $25.90