Adam spends $13.80 on 3 stickers and 4 beads.
A sticker costs $1.10 more than 1 bead.
- How much does 1 sticker cost?
- How much do 8 stickers cost?
- How much do a bead and 8 stickers cost?
- How much do 8 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 + 1.10
Total cost of 3 stickers and 4 beads
= 3(1 u + 1.10) + 4 u
= 3 u + 3.30 + 4 u
= 3 u + 4 u + 3.30
= 7 u + 3.30
7 u + 3.30 = 13.80
7 u = 13.80 - 3.30
7 u = 10.50
1 u = 10.50 ÷ 7 = 1.50
Cost of 1 sticker
= 1 u + 1.10
= 1.50 + 1.10
= $2.60
(b)
Cost of 8 stickers
= 8 x 2.60
= $20.80
(c)
Cost of 1 bead and 8 stickers
= 1.50 + 20.80
= $22.30
(d)
Cost of 8 stickers more than 1 bead
= 20.80 - 1.50
= $19.30
Answer(s): (a) $2.60; (b) $20.80; (c) $22.30; (d) $19.30