three fifths of its teachers have master degree. 45 teachers have a master how many teacher does school have?

Question

A high school boast that three-fifths of its teachers have a master degree. If 45 teachers have a master degree how many teachers does school have?

 

Answer 1

3/5 = 0.60 , so 60% of the teachers have degrees.

 

 

 

Let x = the number of teachers as a whole.

 

 

45 / x = 60 / 100

 

 

Cross-multiply.

 

60x = 4500

 

 

Divide both sides of the equation by 60.

 

x = 75

 

 

There are 75 teachers at the school.

 

 

 

Answer 2

If three fifths of a school has a Masters degree, then that would be:

 

3/5(x)  [x representing the number of teachers all together.]

 

Then the total teachers with a Master's degree is 45.

 

3/5(x)=45

 

Solve for x

 

First multiply by 5 on each side to eliminate the denominator:

 

5* 3/5(x) = 45 * 5

 

This would cancel the 5's on the left side giving you

 

3x = 225

 

Now we need x by itself so we will divide by 3 on each side

 

3x/3 = 225/3

 

The 3's will cancel on the left leaving x and giving us our answer:

 

x = 75

 

To check the answer, we will plug the value of x into the original equation that we set up.

 

3/5 (x) = 45

 

3/5 (75) = 45

 

45 = 45

 

Since this gives us a true statement,

 

x = 75