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Select the correct answer A’s maths test had 75 problems consisting of 10 arithmetic, 30 algebra and 35 geometry problems. Although he answered 70% of arithmetic, 40% of algebra and 60 % of geometry problems correctly, he did not pass the test because he got less than 60% of the problems right. How many more questions he would have needed to answer correctly to  get a 60% passing grade?radio_button_unchecked 5radio_button_unchecked4radio_button_unchecked3radio_button_uncheckedNone of these

Question

Select the correct answer A’s maths test had 75 problems consisting of 10 arithmetic, 30 algebra and 35 geometry problems. Although he answered 70% of arithmetic, 40% of algebra and 60 % of geometry problems correctly, he did not pass the test because he got less than 60% of the problems right. How many more questions he would have needed to answer correctly to  get a 60% passing grade?radio_button_unchecked 5radio_button_unchecked4radio_button_unchecked3radio_button_uncheckedNone of these

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Solution

First, let's calculate how many problems A answered correctly in each category:

  • Arithmetic: 70% of 10 problems = 7 problems
  • Algebra: 40% of 30 problems = 12 problems
  • Geometry: 60% of 35 problems = 21 problems

So, A answered a total of 7 + 12 + 21 = 40 problems correctly.

To pass the test, A needed to answer 60% of 75 problems correctly, which is 0.60 * 75 = 45 problems.

Therefore, A would have needed to answer 45 - 40 = 5 more problems correctly to pass the test.

So, the correct answer is 5.

This problem has been solved

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