The social studies teacher is giving a test worth 110 points, and containing 46 questions. There are 2 point and 4 point questions on the test. How many of each type of question are on the test? Show your work.

Question

mathmate · Answer

Finally, I hope:
This is typically a system of equations problem, but I usually solve it by mental reasoning.
If all questions are 2-points, we have 2*46=92 points.
Since we are 110-92=18 points short, we must have answered 9 4-point questions.  So can you figure out the final answers?

anonymous · Answer

There would be 37 2-point questions and 9 4-point questions

mathmate · Answer

Did you check the score to make sure it's correct?

mathmate · Answer

Also, would you be ale to solve a similar problem using the same method?

anonymous · Answer

No I did not im not sure how to check it

anonymous · Answer

and yes Im pretty sure I can solve a similar question with this method thank you!

anonymous · Answer

lol

mathmate · Answer

Checking:
37*2+9*4=74+36=110 as expected!

mathmate · Answer

You're welcome!  :)

anonymous · Answer

lol

anonymous · Answer

Whats so funny @cram

anonymous · Answer

he told you so it was kinnda like two year olds fighting over a toy

anonymous · Answer

sorry I am weird that way