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.