Adam spends $13.30 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 = 13.30
5 u = 13.30 - 5.80
5 u = 7.50
1 u = 7.50 ÷ 5 = 1.50
Cost of 1 sticker
= 1 u + 2.90
= 1.50 + 2.90
= $4.40
(b)
Cost of 6 stickers
= 6 x 4.40
= $26.40
(c)
Cost of 1 bead and 6 stickers
= 1.50 + 26.40
= $27.90
(d)
Cost of 6 stickers more than 1 bead
= 26.40 - 1.50
= $24.90
Answer(s): (a) $4.40; (b) $26.40; (c) $27.90; (d) $24.90