Adam spends $14.70 on 3 beads and 4 stickers.
A bead costs $1.40 more than 1 sticker.
- How much does 1 bead cost?
- How much do 6 beads cost?
- How much do a sticker and 6 beads cost?
- How much do 6 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 3 beads and 4 stickers
= 3(1 u + 1.40) + 4 u
= 3 u + 4.20 + 4 u
= 3 u + 4 u + 4.20
= 7 u + 4.20
7 u + 4.20 = 14.70
7 u = 14.70 - 4.20
7 u = 10.50
1 u = 10.50 ÷ 7 = 1.50
Cost of 1 bead
= 1 u + 1.40
= 1.50 + 1.40
= $2.90
(b)
Cost of 6 beads
= 6 x 2.90
= $17.40
(c)
Cost of 1 sticker and 6 beads
= 1.50 + 17.40
= $18.90
(d)
Cost of 6 beads more than 1 sticker
= 17.40 - 1.50
= $15.90
Answer(s): (a) $2.90; (b) $17.40; (c) $18.90; (d) $15.90