Adam spends $14.30 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 = 14.30
1 u = 14.30 ÷ 11 = 1.30
Cost of 1 bead
= 4 u
= 4 x 1.30
= $5.20
(b)
Cost of 4 beads
= 4 x 5.20
= $20.80
(c)
Cost of 1 marble and 4 beads
= 1.30 + 20.80
= $22.10
(d)
Cost of 1 marble less than 4 beads
= 20.80 - 1.30
= $19.50
Answer(s): (a) $5.20; (b) $20.80; (c) $22.10; (d) $19.50