Answer:
<em><u>5</u></em><em><u> </u></em><em><u>points</u></em><em><u> </u></em><em><u>question</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>8</u></em>
<em><u>and</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>po</u></em><em><u>ints</u></em><em><u> questions</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em>
Step-by-step explanation:
Let the number of 5 points questions be x and number of the 2 points questions be y !!
Given :- The paper has 38 problems
i.e,
number of 5 points Q + number of 2point Q = 38
=> x + y = 38
=> x = 38 - y .... ( i )
And , The test worth 100 pts :-
There must be x number of Questions which carry 5 points and there must y number of questions which carries 2 points ( as assume above )
so, 5x + 2y = 100 .... ( ii )
Putting value of the x in ( ii )
5 ( 38 - y ) + 2y = 100
190 - 5y + 2y = 100
- 3y = - 90
y = 30
Putting value of y in ( i )
x = 38 - y
x = 38 - 30
x = 8
So, the Number of 5points Question is
x = 8
and , the number of 2 points questions is y = 30 !!