Question

A law office is installing new file cabinets. Each file drawer can hold records for 50 clients, and each cabinet has 5 drawers. If the office has 600 clients, how many cabinets should be ordered to store the existing files

Answer 1

Given:
Each cabinet has 5 drawers.
Each drawer can hold records for 50 clients.

Now,
Each cabinet can hold records for (50 × 5) clients
                                                 = 250 clients

Now,
Using unitary method,
250 clients records can be held up in 1 file cabinet.
1 client records can be held up in (1 / 250) file cabinet
600 client records can be held up in (1 / 250) × 600 file cabinet
                                                   = 2.4

So, we need 3 file cabinets...cause we cant't get 2.4 file cabinet

Answer 2

1 drawer= 50 clients
I used ratio and proportion first

1 drawer/50 clients= x drawers/600 clients
cross multiply
50x= 600
x= 12 drawers
12 drawers/5 per cabinet=
2/25 or 2.4
need to order 3 cabinets

hope this helps