The ratio of laptop to desktop computers at a middle school. Is 8 to 6. If there are 462 desktop computers, how many computers in total are in the school

Respuesta :

Answer:

1078

Explanation:

For this you can use a proportion to solve. So first we set up the proportion as  laptop over desktop is equal to "l" over total desktop computers. Let l be the total amount of laptops which is what we must first solve for.

[tex]\frac{8}{6}=\frac{l}{462} \\[/tex]

Then we cross multiply.

[tex]6l=3696\\[/tex]

Now we can solve it as a regular algebra problem,

[tex]\frac{6}{6}l = \frac{3696}{6}\\ l=616[/tex]

Now that we know how many laptop computers there are we can find the total number of computers in the school. We simply add the total number of desktop computers to the total number of laptop computers.

[tex]462+616=1078[/tex]

And that is the answer. 1078.