Adam spends $15.30 on 2 beads and 3 stickers.
A bead costs $1.90 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 + 1.90
Total cost of 2 beads and 3 stickers
= 2(1 u + 1.90) + 3 u
= 2 u + 3.80 + 3 u
= 2 u + 3 u + 3.80
= 5 u + 3.80
5 u + 3.80 = 15.30
5 u = 15.30 - 3.80
5 u = 11.50
1 u = 11.50 ÷ 5 = 2.30
Cost of 1 bead
= 1 u + 1.90
= 2.30 + 1.90
= $4.20
(b)
Cost of 8 beads
= 8 x 4.20
= $33.60
(c)
Cost of 1 sticker and 8 beads
= 2.30 + 33.60
= $35.90
(d)
Cost of 8 beads more than 1 sticker
= 33.60 - 2.30
= $31.30
Answer(s): (a) $4.20; (b) $33.60; (c) $35.90; (d) $31.30