Respuesta :
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;
[tex]3x+y =825 \ \ \ \ \ equation\ 1[/tex]
Also Given:
if he buys 4 computers and 2 printers, the cost is $1200.
framing in equation form we get;
[tex]4x+2y =1200 \ \ \ \ \ equation\ 2[/tex]
Now Multiplying equation 1 by 2 we get;
[tex]2(3x+y)=825\times 2\\\\6x+2y=1650 \ \ \ \ \ equation\ 3[/tex]
Now Subtracting equation 2 from equation 3 we get;
[tex](6x+2y)- (4x+2y) = 1650-1200\\\\6x+2y-4x-2y = 450\\\\2x=450\\\\x=\frac{450}{2} =\$225[/tex]
Now Substituting the value of x in equation 1 we get;
[tex]3x+y=825\\\\3\times 225+y=825\\\\675+y =825\\\\y = 825 -675\\\\y = \$150[/tex]
Hence Cost of each Computer is $225 and Cost of each Printer is $150.
