Adam spends $14.30 on 4 beads and 5 marbles.
A bead costs $1.10 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 + 1.10
Total cost of 4 beads and 5 marbles
= 4(1 u + 1.10) + 5 u
= 4 u + 4.40 + 5 u
= 4 u + 5 u + 4.40
= 9 u + 4.40
9 u + 4.40 = 14.30
9 u = 14.30 - 4.40
9 u = 9.90
1 u = 9.90 ÷ 9 = 1.10
Cost of 1 bead
= 1 u + 1.10
= 1.10 + 1.10
= $2.20
(b)
Cost of 8 beads
= 8 x 2.20
= $17.60
(c)
Cost of 1 marble and 8 beads
= 1.10 + 17.60
= $18.70
(d)
Cost of 8 beads more than 1 marble
= 17.60 - 1.10
= $16.50
Answer(s): (a) $2.20; (b) $17.60; (c) $18.70; (d) $16.50