Adam spends $13.80 on 3 beads and 4 stickers.
A bead costs $1.10 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 + 1.10
Total cost of 3 beads and 4 stickers
= 3(1 u + 1.10) + 4 u
= 3 u + 3.30 + 4 u
= 3 u + 4 u + 3.30
= 7 u + 3.30
7 u + 3.30 = 13.80
7 u = 13.80 - 3.30
7 u = 10.50
1 u = 10.50 ÷ 7 = 1.50
Cost of 1 bead
= 1 u + 1.10
= 1.50 + 1.10
= $2.60
(b)
Cost of 7 beads
= 7 x 2.60
= $18.20
(c)
Cost of 1 sticker and 7 beads
= 1.50 + 18.20
= $19.70
(d)
Cost of 7 beads more than 1 sticker
= 18.20 - 1.50
= $16.70
Answer(s): (a) $2.60; (b) $18.20; (c) $19.70; (d) $16.70