95.2k views
11 votes
PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

2 Answers

6 votes

Answer:

There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.

Explanation:

14 x 5 = 70

10 x 3 = 30

70 + 30 = 100

14 + 10 = 24 questions total

User DeJaVo
by
8.1k points
7 votes

Answer:

There are 14 5-point questions and 10 3-point questions.

Explanation:

Form 2 equations:

Let x= 5-point questions

Let y= 3-point questions

1.) x+y=24

2.) 5x+3y=100

Use substitution by reforming equation 1 in terms of x or y (I used y)

1.) y=24-x

Sooo, substitute this into the y in the 2nd equation:

5x+3(24-x)=100

5x+72-3x=100

2x=100-72

2x=28

x=14

Now that we have x, substitute this into the 1st equation to get y:

1.) y=24-x

y=24-14

y=10

In conclusion, there are 14 5-point questions and 10 3-point questions.

User Bruce Tong
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories