Chris H. answered • 10/27/15

Bucknell Math Grad: Experienced Teacher and Tutor

First define your variables.

Let m = # of math problems

Let s = # of science problems

m + s = 42 <-- Because there are 42 total problems

m = s + 10 <-- Because there are 10 more math problems

Solve by substitution method, replace m in the first equation with s + 10

s + 10 + s = 42

2s + 10 = 42 <-- Combine like terms

- 10 -10

2s = 32

**s = 16**<-- Divide by 2

We now have s, so we can plug it back into an original equation to find m

m = s + 10 => m = 16 + 10 =>

**m = 26**To confirm, we note that 16 + 26 = 42 so both equations are satisfied.