Adam spends $13.10 on 4 beads and 5 stickers.
A bead costs $1.70 more than 1 sticker.
- How much does 1 bead cost?
- How much do 7 beads cost?
- How much do a sticker and 7 beads cost?
- How much do 7 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 + 1.70
Total cost of 4 beads and 5 stickers
= 4(1 u + 1.70) + 5 u
= 4 u + 6.80 + 5 u
= 4 u + 5 u + 6.80
= 9 u + 6.80
9 u + 6.80 = 13.10
9 u = 13.10 - 6.80
9 u = 6.30
1 u = 6.30 ÷ 9 = 0.70
Cost of 1 bead
= 1 u + 1.70
= 0.70 + 1.70
= $2.40
(b)
Cost of 7 beads
= 7 x 2.40
= $16.80
(c)
Cost of 1 sticker and 7 beads
= 0.70 + 16.80
= $17.50
(d)
Cost of 7 beads more than 1 sticker
= 16.80 - 0.70
= $16.10
Answer(s): (a) $2.40; (b) $16.80; (c) $17.50; (d) $16.10