Question

Thomas is starting a new company. He has two quotes from a computer company for the cost of computers and printers. If he buys three computers and one printer, the cost is $825. if he buys 4 computers and 2 printers, the cost is $1200. How much does each computer and printer cost?

Answer 1

Answer:

Cost of each Computer is $225 and Cost of each Printer is $150.

Step-by-step explanation:

Let the cost of the Computers be 'x'.

Let the cost of Printer be 'y'.

Given:

If he buys three computers and one printer, the cost is $825.

framing in equation form we get;

$3x+y =825 \ \ \ \ \ equation\ 1$

Also Given:

if he buys 4 computers and 2 printers, the cost is $1200.

framing in equation form we get;

$4x+2y =1200 \ \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 2 we get;

$2(3x+y)=825\times 2\\\\6x+2y=1650 \ \ \ \ \ equation\ 3$

Now Subtracting equation 2 from equation 3 we get;

$(6x+2y)- (4x+2y) = 1650-1200\\\\6x+2y-4x-2y = 450\\\\2x=450\\\\x=\frac{450}{2} =\ 225$

Now Substituting the value of x in equation 1 we get;

$3x+y=825\\\\3\times 225+y=825\\\\675+y =825\\\\y = 825 -675\\\\y = \ 150$

Hence Cost of each Computer is $225 and Cost of each Printer is $150.