Adam spends $16.70 on 4 beads and 5 stickers.
A bead costs $1.70 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 + 1.70
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 = 16.70
9 u = 16.70 - 6.80
9 u = 9.90
1 u = 9.90 ÷ 9 = 1.10
Cost of 1 bead
= 1 u + 1.70
= 1.10 + 1.70
= $2.80
(b)
Cost of 6 beads
= 6 x 2.80
= $16.80
(c)
Cost of 1 sticker and 6 beads
= 1.10 + 16.80
= $17.90
(d)
Cost of 6 beads more than 1 sticker
= 16.80 - 1.10
= $15.70
Answer(s): (a) $2.80; (b) $16.80; (c) $17.90; (d) $15.70