Answers:
26 math problems
16 science problems
===============================================
Work Shown:
m = number of math problems
s = number of science problems
Since "you have 10 more math problems than science problems", we can say m = s+10
Also, we can say m+s = 42 because there are 42 problems total.
Replace m with s+10, which is the substitution rule, and solve for s like so
m+s = 42
s+10+s = 42
2s+10 = 42
2s = 42-10
2s = 32
s = 32/2
s = 16
You have 16 science problems
m = s+10
m = 16+10
m = 26
and you have 26 math problems
To check this, we would say m+s = 26+16 = 42 which confirms the answer.
