Adam spends $16.50 on 3 beads and 4 stickers.
A bead costs $1.30 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 + 1.30
Total cost of 3 beads and 4 stickers
= 3(1 u + 1.30) + 4 u
= 3 u + 3.90 + 4 u
= 3 u + 4 u + 3.90
= 7 u + 3.90
7 u + 3.90 = 16.50
7 u = 16.50 - 3.90
7 u = 12.60
1 u = 12.60 ÷ 7 = 1.80
Cost of 1 bead
= 1 u + 1.30
= 1.80 + 1.30
= $3.10
(b)
Cost of 6 beads
= 6 x 3.10
= $18.60
(c)
Cost of 1 sticker and 6 beads
= 1.80 + 18.60
= $20.40
(d)
Cost of 6 beads more than 1 sticker
= 18.60 - 1.80
= $16.80
Answer(s): (a) $3.10; (b) $18.60; (c) $20.40; (d) $16.80