Adam spends $13.60 on 3 beads and 4 stickers.
A bead costs $2.90 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 + 2.90
Total cost of 3 beads and 4 stickers
= 3(1 u + 2.90) + 4 u
= 3 u + 8.70 + 4 u
= 3 u + 4 u + 8.70
= 7 u + 8.70
7 u + 8.70 = 13.60
7 u = 13.60 - 8.70
7 u = 4.90
1 u = 4.90 ÷ 7 = 0.70
Cost of 1 bead
= 1 u + 2.90
= 0.70 + 2.90
= $3.60
(b)
Cost of 6 beads
= 6 x 3.60
= $21.60
(c)
Cost of 1 sticker and 6 beads
= 0.70 + 21.60
= $22.30
(d)
Cost of 6 beads more than 1 sticker
= 21.60 - 0.70
= $20.90
Answer(s): (a) $3.60; (b) $21.60; (c) $22.30; (d) $20.90