Jennifer Mike and Carol each have a bunch of quarters Jennif

Jennifer, Mike and Carol each have a bunch of quarters. Jennifer and Mike have 26 quarters together. Jennifer and Carol have 20 quarters together. Mike and Carol have 22 quarters together. How many cents does Mike have?

Solution

Jen --> j
Mike --> m
Carol --> c

j + m = 26

j + c = 20

m + c = 22

Subtract the first two equations :
j + m = 26
j + c = 20

We get :
m - c = 6

And now, solve these together :
m - c = 6
m + c =22

Add em together :
2m = 28
m = 14

And now, using m + c = 22 ---> 14 + c = 22 ---> c = 8

And now, j + c = 20
j + 8 =20
j = 12

Mike has 14 quarters

So, he has 14 * 25 ----> 350 cents ---> ANSWER