A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100

Some latter academics question and answer inquired students to tell what they think is the most important aspect for a student to do in order for you to become success. Of the numerous reactions, one that that stood out was practice. People who were successful do not become successful by being born. They work hard and dedication their lives to succeeding. If you would like to reach your goals, keep this in mind! down below are one of the answer and question example that you possibly will use to practice and enhance your information and also give you insights that will assist you to preserve your study in school.

Question:

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100

Answer:

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

As per the given statement:

A science test, which is worth 100 points, consists of 24 questions.

Then the system of equation is:

          ……[1] and

3x + 5y = 100                   ……[2]

we can write equation [1] as ;

y = 24 -x

Substitute this in equation [2] we have;

Using distributive property:

3x + 120 – 5x =100

Combine like terms:

120 – 2x =100

Subtract 120 from both sides we get;

120 -2x -120 = 100-120

READ MORE  ¿Con quién trabajó Paula?

Simplify:

-2x = -20

Divide both sides by -2 we get;

x = 10

Substitute the value of x in equation [1] to solve for y;

10 + y =24

Subtract 10 from both sides we get;

10 + y -10 = 24-10

y = 14

Therefore, the number of 3-points questions x is, 10 and the number of 5-points questions y is, 14

From the answer and question examples above, hopefully, they might possibly help the student answer the question they had been looking for and take notice of every single thing stated in the answer above. You may then have a discussion with your classmate and continue the school learning by studying the topic with one another.

Leave a Reply

Your email address will not be published.