Question 273554
cost of CRT materials = $30
cost of LCD materials = $130
cost of CRT labor = $80
cost of LCD labor = $130
total cost of materials = $7910
total cost of labor = 10260


let x = number of CRT
let y = numbe4r of LCD


equation for material is:


30x + 130y = 7910


equation for labor is:


80x + 130y = 10260


you need to solve these 2 equations to get your answer.


the equations are:

<pre>
                     30x + 130y = 7910
                     80x + 130y = 10260
</pre>
subtract first equation from second to get:


50x = 2350


divide both sides of this equation by 50 to get:


x = 47


substitute for x in first equation to get:


30x + 130y = 7910 becomes:
30*47 + 130y = 7910 which becomes:
1410 + 130y = 7910
subtract 1410 from both sides to get:
130y = 7910 - 1410
combine like terms to get:
130y = 6500
divide both sides by 130 to get:
y = 50


you have x = 47 and y = 50


substitute in both original equations to see that these values solve both of them at the same time.


original equations are:

<pre>
                     30x + 130y =  7910
                     80x + 130y = 10260
</pre>
after substitution they become:

<pre>
                     30*47  + 130*50  =  7910
                     80*47  + 130*50  = 10260
</pre>
simplify to get:

<pre>
                     1410  + 6500  =  7910
                     3760  + 6500  = 10260
</pre>
both these equations are true confirming the values for x and y are good.


x is the number of CRT
y is the number of LCD


answer to the question is that 50 LCD monitors are being planned to be manufactured during a week that the company has budgeted 7910 for materials and 10260 for labor.