Adam spends $14.40 on 4 beads and 5 marbles.
A bead costs $2.70 more than 1 marble.
- How much does 1 bead cost?
- How much do 8 beads cost?
- How much do a marble and 8 beads cost?
- How much do 8 beads cost more than 1 marble?
(a)
Let the cheaper item be 1 u.
Cost of 1 marble = 1 u
Cost of 1 bead = 1 u + 2.70
Total cost of 4 beads and 5 marbles
= 4(1 u + 2.70) + 5 u
= 4 u + 10.80 + 5 u
= 4 u + 5 u + 10.80
= 9 u + 10.80
9 u + 10.80 = 14.40
9 u = 14.40 - 10.80
9 u = 3.60
1 u = 3.60 ÷ 9 = 0.40
Cost of 1 bead
= 1 u + 2.70
= 0.40 + 2.70
= $3.10
(b)
Cost of 8 beads
= 8 x 3.10
= $24.80
(c)
Cost of 1 marble and 8 beads
= 0.40 + 24.80
= $25.20
(d)
Cost of 8 beads more than 1 marble
= 24.80 - 0.40
= $24.40
Answer(s): (a) $3.10; (b) $24.80; (c) $25.20; (d) $24.40