Adam spends $12.10 on 2 beads and 3 marbles.
A bead costs 4 times as much as 1 marble.
- How much does 1 bead cost?
- How much do 4 beads cost?
- How much do a marble and 4 beads cost?
- How much does 1 marble cost less than 4 beads?
(a)
Let the cheaper item be 1 u.
Cost of 1 marble = 1 u
Cost of 1 bead = 4 u
Cost of 2 beads = 2 x 4 u = 8 u
Cost of 3 marbles = 3 x 1 u = 3 u
Total cost of 2 beads and 3 marbles
= 8 u + 3 u
= 11 u
11 u = 12.10
1 u = 12.10 ÷ 11 = 1.10
Cost of 1 bead
= 4 u
= 4 x 1.10
= $4.40
(b)
Cost of 4 beads
= 4 x 4.40
= $17.60
(c)
Cost of 1 marble and 4 beads
= 1.10 + 17.60
= $18.70
(d)
Cost of 1 marble less than 4 beads
= 17.60 - 1.10
= $16.50
Answer(s): (a) $4.40; (b) $17.60; (c) $18.70; (d) $16.50