Adam spends $16.90 on 2 beads and 3 marbles.
A bead costs 5 times as much as 1 marble.
- How much does 1 bead cost?
- How much do 5 beads cost?
- How much do a marble and 5 beads cost?
- How much does 1 marble cost less than 5 beads?
(a)
Let the cheaper item be 1 u.
Cost of 1 marble = 1 u
Cost of 1 bead = 5 u
Cost of 2 beads = 2 x 5 u = 10 u
Cost of 3 marbles = 3 x 1 u = 3 u
Total cost of 2 beads and 3 marbles
= 10 u + 3 u
= 13 u
13 u = 16.90
1 u = 16.90 ÷ 13 = 1.30
Cost of 1 bead
= 5 u
= 5 x 1.30
= $6.50
(b)
Cost of 5 beads
= 5 x 6.50
= $32.50
(c)
Cost of 1 marble and 5 beads
= 1.30 + 32.50
= $33.80
(d)
Cost of 1 marble less than 5 beads
= 32.50 - 1.30
= $31.20
Answer(s): (a) $6.50; (b) $32.50; (c) $33.80; (d) $31.20
