If you have a total 42 math and science world problem and math have 10 more word problem then science. how many does each subject have

26 math problems

16 science problems

Step-by-step explanation:

Set up equations that represent the problem:

m = # of math problems

s = # of science problems

42 = m + s

m = 10 + s

Let's make the first equation equal to m:

42 = m + s

Subtract s on both sides:

42 = m + s

-s          -s

42 - s = m

We have our two equations:

42 - s = m

m = 10 + s

Set them equal to each other:

42 - s = m

m = 10 + s

42 - s = 10 + s

Add s on both sides:

42 - s = 10 + s

     +s         +s

42 = 10 + 2s

Subtract 10 on both sides:

42 = 10 + 2s

-10    -10

32 = 2s

Divide by 2 on both sides:

32 = 2s

/2     /2

16 = s

Therefore, the number of science problems is 16.

Let's substitute this value into one of the equations to find the number of math questions.

Use this equation:

42 = m + s

Substitute:

42 = m + s

42 = m + 16

Subtract 16 on both sides:

42 = m + 16

-16         -16

26 = m

Therefore, you have 26 math problems.

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step-by-step explanation:

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