Adam spends $13.70 on 4 beads and 5 stickers.
A bead costs $1.40 more than 1 sticker.
- How much does 1 bead cost?
- How much do 8 beads cost?
- How much do a sticker and 8 beads cost?
- How much do 8 beads cost more than 1 sticker?
(a)
Let the cheaper item be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 bead = 1 u + 1.40
Total cost of 4 beads and 5 stickers
= 4(1 u + 1.40) + 5 u
= 4 u + 5.60 + 5 u
= 4 u + 5 u + 5.60
= 9 u + 5.60
9 u + 5.60 = 13.70
9 u = 13.70 - 5.60
9 u = 8.10
1 u = 8.10 ÷ 9 = 0.90
Cost of 1 bead
= 1 u + 1.40
= 0.90 + 1.40
= $2.30
(b)
Cost of 8 beads
= 8 x 2.30
= $18.40
(c)
Cost of 1 sticker and 8 beads
= 0.90 + 18.40
= $19.30
(d)
Cost of 8 beads more than 1 sticker
= 18.40 - 0.90
= $17.50
Answer(s): (a) $2.30; (b) $18.40; (c) $19.30; (d) $17.50