Adam spends $14.40 on 4 beads and 5 stickers.
A bead costs $1.80 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 + 1.80
Total cost of 4 beads and 5 stickers
= 4(1 u + 1.80) + 5 u
= 4 u + 7.20 + 5 u
= 4 u + 5 u + 7.20
= 9 u + 7.20
9 u + 7.20 = 14.40
9 u = 14.40 - 7.20
9 u = 7.20
1 u = 7.20 ÷ 9 = 0.80
Cost of 1 bead
= 1 u + 1.80
= 0.80 + 1.80
= $2.60
(b)
Cost of 6 beads
= 6 x 2.60
= $15.60
(c)
Cost of 1 sticker and 6 beads
= 0.80 + 15.60
= $16.40
(d)
Cost of 6 beads more than 1 sticker
= 15.60 - 0.80
= $14.80
Answer(s): (a) $2.60; (b) $15.60; (c) $16.40; (d) $14.80