Question

A college has 9 more english instructors than math instructors. if the total number of English and math instructors is 57, find the number of english instructors and the number of math instructors.

Answer 1

24 math instructors & 33 english instructors

Explanation:

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer 2

There are 24 math instructors and 33 english instructors.

Explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x+(x+9)=57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33