If 350 is 70% of a number, what is that number?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

If 350 is 70% of a number, what is that number?

Explanation:
To find a number when a percentage of it is given, treat the percentage as a fraction of the whole. If the unknown number is x and 70% of it is 350, then 0.70 × x = 350. Solving for x gives x = 350 ÷ 0.70 = 500. A quick check: 70% of 500 is 350, so it matches. Another way is (7/10)x = 350, so x = 350 × (10/7) = 500. The remaining options would yield different results when taking 70% of them, so they don’t fit.

To find a number when a percentage of it is given, treat the percentage as a fraction of the whole. If the unknown number is x and 70% of it is 350, then 0.70 × x = 350. Solving for x gives x = 350 ÷ 0.70 = 500. A quick check: 70% of 500 is 350, so it matches. Another way is (7/10)x = 350, so x = 350 × (10/7) = 500. The remaining options would yield different results when taking 70% of them, so they don’t fit.

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