Question

you have 33 math and seicne problems. For homework you have 7 more math prblems than science problems. how many problems do you have in each subject?

Answer 1

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

:)