Adam spends $16.60 on 3 beads and 4 stickers.
A bead costs $2.50 more than 1 sticker.
- How much does 1 bead cost?
- How much do 7 beads cost?
- How much do a sticker and 7 beads cost?
- How much do 7 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 + 2.50
Total cost of 3 beads and 4 stickers
= 3(1 u + 2.50) + 4 u
= 3 u + 7.50 + 4 u
= 3 u + 4 u + 7.50
= 7 u + 7.50
7 u + 7.50 = 16.60
7 u = 16.60 - 7.50
7 u = 9.10
1 u = 9.10 ÷ 7 = 1.30
Cost of 1 bead
= 1 u + 2.50
= 1.30 + 2.50
= $3.80
(b)
Cost of 7 beads
= 7 x 3.80
= $26.60
(c)
Cost of 1 sticker and 7 beads
= 1.30 + 26.60
= $27.90
(d)
Cost of 7 beads more than 1 sticker
= 26.60 - 1.30
= $25.30
Answer(s): (a) $3.80; (b) $26.60; (c) $27.90; (d) $25.30