Read answered 75% of the questions on a test correctly. If he answered 18 questions out of the first 22 correctly, and two-third of the remaining questions correctly, how many questions were on the test?

Created: 6 years ago | Updated: 2 years ago

Updated: 2 years ago

None of these

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Explanation

439

Best Ans:

Let the number of questions be X.

Then, 18 + 2/3 of (X - 22) = 75% of X

or, 18 + 2X/3 - 2×22/3 = 75X/100

or, 18 + 2X/3 - 44/3 = 3X/4

or, 3X/4 - 2X/3 = 18 - 44/3 = (54 - 44)/3 = 10/3

or, (9X - 8X)/12 = 10/3

or, X = 10/3×12 = 40

6 years ago

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