You have 34 math and science problems for homework. You have 10 more math problems then science, how many of each do you have?

x + x + 10 = 34

2x = 24

x = 12

Thank you

You're welcome.

To find out how many math and science problems you have, you can use a system of equations. Let's define two variables:

M = number of math problems
S = number of science problems

You know that you have 34 problems in total, so the first equation would be:

M + S = 34

You're also given that you have 10 more math problems than science problems, so the second equation would be:

M = S + 10

To solve this system of equations, you can use the substitution method. Rearrange the second equation to solve for S:

S = M - 10

Now substitute this expression into the first equation:

M + (M - 10) = 34

Simplifying this equation, you get:

2M - 10 = 34

Add 10 to both sides:

2M = 44

Divide both sides by 2:

M = 22

Now substitute this value back into the second equation:

S = 22 - 10

Simplify:

S = 12

Therefore, you have 22 math problems and 12 science problems for homework.