An algebra test contains 38 problems. some of the problems are worth 2 points each. the rest of the questions are worth 3 points each. a perfect score is 100 points. how many problems are worth 2 points? how many problems are worth 3 points?

Total questions in the test = 38

Let 2 points questions be = x

Let 3 points questions be = y

As total questions are 38, so

From here, we can derive x as:  ...... (i)

As given, few questions are 2 marks each and rest 3 marks each and perfect square is 100, so we get,

  .......(ii)

Put the value of y from (i) in (ii)

y=24

Putting y in equation (i), we get

x=14

Hence, 2 points questions are = 14

3 points questions are = 24

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step-by-step explanation:

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