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An exam worth 145 points contains 50 questions some of the questions are worth 2 points and some are worth 5 Points how many two point questions are on the test how many 5-point questions are on the test

User Brandis
by
6.4k points

2 Answers

2 votes

Answer:

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Information Given

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Total points = 145

Total questions = 50

2 points questions

5 points questions

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Assumed all 2 points

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Total points = 2 x 50 = 100

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Find the extra points

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145 - 100 = 45

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Difference in points

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5 - 2 = 3

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Find the number of 5 points questions

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45 ÷ 3 = 15

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Find the number of 2 points questions

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50 - 15 = 35

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Answer: 35 2-points questions and 15 5-points questions

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User Robthebloke
by
7.0k points
3 votes
--------------------------------------------------------
Information Given
--------------------------------------------------------
Total points = 145
Total questions = 50
2 points questions
5 points questions

--------------------------------------------------------
Assumed all 2 points
--------------------------------------------------------
Total points = 2 x 50 = 100

--------------------------------------------------------
Find the extra points
--------------------------------------------------------
145 - 100 = 45

--------------------------------------------------------
Difference in points
--------------------------------------------------------
5 - 2 = 3

--------------------------------------------------------
Find the number of 5 points questions
--------------------------------------------------------
45 ÷ 3 = 15

--------------------------------------------------------
Find the number of 2 points questions
--------------------------------------------------------
50 - 15 = 35

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Answer: 35 2-points questions and 15 5-points questions
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User Kushagra Gour
by
6.7k points