Answer:
Math Problems: 20
Science Problems: 13
Step-by-step explanation:
First define your variables.
Let m = # of math problems
Let s = # of science problems
m + s = 33 <-- Because there are 33 total problems
m = s + 7 <-- Because there are 7 more math problems
Solve by substitution method, replace m in the first equation with s + 7
s + 7 + s = 33
2s + 7 = 33 <-- Combine like terms
- 7 -7
2s = 26
s = 13 <-- Divide by 2
We now have s, so we can plug it back into an original equation to find m
m = s + 7 => m = 13 + 7 => m = 20
So,
Math Problems: 20
Science Problems: 13
To confirm, we note that 20 + 13 = 33 so both equations are satisfied.
Good luck
:)
