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Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?


Sagot :

Answer:

35 2-point questions, and 15 5-point questions

Assume x 2-points question, so 50-x 5-points question

Total no of points: 2*x+5*(50-x)=145 points

2x+250-5x=145

-3x=-105

x=-105/-3=35 2-points questions

Remaining 50-35=15 5-points questions

ok so i really hope this helped and if it didn't then sorry

There are 30 two-point questions and 20 five-point questions.

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to questions, Brandon took a 50-question exam worth a total of 160 points.

There were x two-point questions and y five-point questions.

So,[tex]y=50-x[/tex]

Now, according to question, we will get the following equations

[tex]2x+5(50-x)=160[/tex]

⇒[tex]2x+250-5x=160[/tex]

⇒[tex]-3x=-90[/tex]

⇒[tex]x=30[/tex]

[tex]y=50-30\\[/tex]

⇒[tex]y=20[/tex]

Hence, we can conclude that there are are [tex]30[/tex] two-point questions and [tex]20[/tex] five-point questions.

Learn more about  equation here:

https://brainly.com/question/21105092?referrer=searchResults

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