Adam spends $16.10 on 2 beads and 3 stickers.
A bead costs $2.30 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 + 2.30
Total cost of 2 beads and 3 stickers
= 2(1 u + 2.30) + 3 u
= 2 u + 4.60 + 3 u
= 2 u + 3 u + 4.60
= 5 u + 4.60
5 u + 4.60 = 16.10
5 u = 16.10 - 4.60
5 u = 11.50
1 u = 11.50 ÷ 5 = 2.30
Cost of 1 bead
= 1 u + 2.30
= 2.30 + 2.30
= $4.60
(b)
Cost of 8 beads
= 8 x 4.60
= $36.80
(c)
Cost of 1 sticker and 8 beads
= 2.30 + 36.80
= $39.10
(d)
Cost of 8 beads more than 1 sticker
= 36.80 - 2.30
= $34.50
Answer(s): (a) $4.60; (b) $36.80; (c) $39.10; (d) $34.50