The four points questions are 5.
Step-by-step explanation:
Total points = 50
Total questions = 15
There are 4 points questions and 3 points questions.
Let,
x be the number of 4 points questions
y be the number of 3 points questions
According to given statement;
x+y=15 Eqn 1
4x+3y=50 Eqn 2
Multiplying Eqn 1 by 3
[tex]3(x+y=15)\\3x+3y=45\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](4x+3y)-(3x+3y)=50-45\\4x+3y-3x-3y=5\\x=5[/tex]
As x variable was used for 4 points questions, therefore,
The four points questions are 5.
Keywords: linear equation, subtraction
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