Adam spends $14.30 on 3 beads and 4 marbles.
A bead costs 3 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 = 3 u
Cost of 3 beads = 3 x 3 u = 9 u
Cost of 4 marbles = 4 x 1 u = 4 u
Total cost of 3 beads and 4 marbles
= 9 u + 4 u
= 13 u
13 u = 14.30
1 u = 14.30 ÷ 13 = 1.10
Cost of 1 bead
= 3 u
= 3 x 1.10
= $3.30
(b)
Cost of 4 beads
= 4 x 3.30
= $13.20
(c)
Cost of 1 marble and 4 beads
= 1.10 + 13.20
= $14.30
(d)
Cost of 1 marble less than 4 beads
= 13.20 - 1.10
= $12.10
Answer(s): (a) $3.30; (b) $13.20; (c) $14.30; (d) $12.10