Question 1174898
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Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. 
The number of 4 points questions is one-third the number of 2-point questions. 
How many 2- and 4-point questions are on the test?
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<pre>
Let x be the number of the 4-point questions.

then the number of the 2-point questions is 3x.


Total point equation is


    100 = 2*(3x) + 4x 


Simplify and solve


    100 = 6x + 4x

    100 = 10x

     x  = 100/10 = 10.


<U>ANSWER</U>.  10 4-point questions and 3*10 = 30 2-point questions.
</pre>

Solved.



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<U><B>A T T E N T I O N</B></U> &nbsp;(!)  &nbsp;&nbsp;The solution by @ewatrrr is incorrect.


For your safety, &nbsp;ignore it &nbsp;(!)