Question

A company operates on two types of servers: 2 large servers (L) and 4 smaller servers (S), with a combined total of 64GB RAM. The other day a large server and a small server blew out reducing the total RAM to 40GB. How much RAM does each large server (L), and each small server (S) have

Answer 1

Explanation:

Let the size of a large server be L, and

the size of a small server be S.

We are given two scenarios,

2L+4S = 64.............(1)

and

L+3S = 40...............(2)

We solve the equations as follows

2(2)-(1)

2L-2L +6S-4S = 2*40-64

2S = 16

so S=8 ..................(3), size of small server

substitute (3) in (2)

L+3(8) =40

L = 40-24 = 16..............size of large server