In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive E difference between n and m?	Choose the correct choice from the following options.
A) 1
B) 3
C) 5
D) 7
E) 9
We have equation 2n + 5m = 50   We have factor 2 in first number and we have factor 5 in second number.   LCM(2, 5) = 10   So we can try some numbers and we should start from 5 because it will be less list than for 2   2 * 5= 
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
10 and n should be equal 20   4 * 5= 
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
20 and n should be equal 15   6 * 5= 
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
30 and n should be equal 10   8 * 5= 
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
40 and n should be equal 5   10 * 5= 
<gadget id="calculator">10 * 5</gadget>
<output>50</output>
50 and n should be equal 0   third variant give us the mininal difference   n - m= 10 - 6= 
<gadget id="calculator">10 - 6</gadget>
<output>4</output>
4   And there is some mistake in my way of thinking because we don't have such answer )   If we change the task and will seek for difference between m and n   than minimal result E will be 8 - 5= 
<gadget id="calculator">8 - 5</gadget>
<output>3</output>
3   And answer 3
<result>B</result>
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive E difference between n and m?