Question

22. MODELING You have a total of 42 math and science problems for homework.

You have 10 more math problems than science problems. How many 201
problems do you have in each subject? Use a system of linear equations
to justify your answer.

Answer 1

16 science problems and 26 math problems.

Explanation:

I think that 201 might be typo.

Let m = number of math problems

Let s = number of science problems.

m + s = 42

m = s+ 10 Substitute s + 10 for m in the first equation

s + 10 + s = 42 Combine line terms

2s + 10 = 42 Subtract 10 from both sides

2s + 10 - 10 = 42 - 10

2s = 32 Divide both sides by 2

`(2s)/(2)` =
`(32)/(2)`

s = 16

m + s = 42 Substitute 16 for s and solve for m

m + 16 = 42 Subtract 16 from both sides

m + 16 - 16 = 42 - 16

m = 26