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

The student has 13 science problems and 20 math problems.

Step-by-step explanation:

In this problem, let's assume the number of science problems is 'x'. Since you have 7 more math problems than science problems, the number of math problems would be 'x + 7'.

According to the given information, you have a total of 33 math and science problems. So, we can set up the equation 'x + (x + 7) = 33' to represent this situation.

Simplifying the equation, we get '2x + 7 = 33'. Subtracting 7 from both sides, we have '2x = 26'. Finally, dividing both sides by 2, we find that 'x = 13'. Therefore, you have 13 science problems and 13 + 7 = 20 math problems.

Answer 2

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

:)