Respuesta :
Number of 2-point questions on the test as per given condition is equals to 8.
What is equation?
" Equation is defined as the relation between the given quantities with the sign of equality."
According to the question,
Total number of questions in a test = 28
Total points allotted for test = 100
Questions distribution as per points :
2-point questions, 4-point questions, and 5-point questions
'x' represents the 5-point questions
As per condition given,
Number of 2-point questions = 2x
Number of( 2-point + 4-point + 5-point ) questions = 28
⇒ 2x + 4-point questions + x = 28
⇒ 4-point questions = 28 - 3x
Substitute the value in the given condition of the equation we get,
[tex]2(2x) + 4(28 - 3x) + 5(x) = 100[/tex]
⇒[tex]4x + 112-12x +5x=100[/tex]
⇒ [tex]112 -3x =100[/tex]
⇒[tex]3x= 112-100[/tex]
⇒[tex]x=4[/tex]
Number of 2-point questions [tex]=2x[/tex]
[tex]=2(4)[/tex]
[tex]=8[/tex] questions
Hence, number of 2-point questions on the test as per given condition is equals to 8.
Learn more about equation here
https://brainly.com/question/10413253
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