Adam spends $14.70 on 3 beads and 4 stickers.
A bead costs $2.80 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 + 2.80
Total cost of 3 beads and 4 stickers
= 3(1 u + 2.80) + 4 u
= 3 u + 8.40 + 4 u
= 3 u + 4 u + 8.40
= 7 u + 8.40
7 u + 8.40 = 14.70
7 u = 14.70 - 8.40
7 u = 6.30
1 u = 6.30 ÷ 7 = 0.90
Cost of 1 bead
= 1 u + 2.80
= 0.90 + 2.80
= $3.70
(b)
Cost of 8 beads
= 8 x 3.70
= $29.60
(c)
Cost of 1 sticker and 8 beads
= 0.90 + 29.60
= $30.50
(d)
Cost of 8 beads more than 1 sticker
= 29.60 - 0.90
= $28.70
Answer(s): (a) $3.70; (b) $29.60; (c) $30.50; (d) $28.70