Adam spends $12.50 on 3 beads and 4 stickers.
A bead costs $2.30 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 + 2.30
Total cost of 3 beads and 4 stickers
= 3(1 u + 2.30) + 4 u
= 3 u + 6.90 + 4 u
= 3 u + 4 u + 6.90
= 7 u + 6.90
7 u + 6.90 = 12.50
7 u = 12.50 - 6.90
7 u = 5.60
1 u = 5.60 ÷ 7 = 0.80
Cost of 1 bead
= 1 u + 2.30
= 0.80 + 2.30
= $3.10
(b)
Cost of 7 beads
= 7 x 3.10
= $21.70
(c)
Cost of 1 sticker and 7 beads
= 0.80 + 21.70
= $22.50
(d)
Cost of 7 beads more than 1 sticker
= 21.70 - 0.80
= $20.90
Answer(s): (a) $3.10; (b) $21.70; (c) $22.50; (d) $20.90