Question 476566
<pre>
josgarithmetic(39630) misread the 4 as a 3
Here is a correction of his solution, for his benefit.
</pre>
let x = number of questions that are 2 points each.
let y = number of questions that are 4 points each.
since the total number of questions is 35, then your first equation is:
x + y = 35
since each x gets you 2 points and each y gets you 4 points, then your second equation is:
2x + 4y = 100
solve these 2 equations simultaneously for your answer.
use second equation to solve for y in terms of x.
you get y = 35 - x
substitute for y in the first equation to get:
2x + 4(35-x) = 100 which becomes:
2x + 140 - 4x = 100 which becomes:
-2x + 140 = 100
add 2x to both sides of this equation.... 
140 = 100 +2x
and subtract 100 from both sides of this equation to get:
40 = 2x
20 = x
since x + y = 35, this means that y = 15
you have 20 questions that are 2 points each and 15 questions that are 4 points each for a total of 20 + 15 = 35 questions with a total of 40 + 60 = 100 points.

<pre>Edwin</pre>