If 30% of a number x equals 60, what is x?

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 30% of a number x equals 60, what is x?

Explanation:
Percent means a portion of a whole, so 30% of x is (30/100) × x. If that equals 60, set up (0.30) × x = 60 and solve for x by dividing both sides by 0.30: x = 60 ÷ 0.30 = 200. Quick check: 30% of 200 is 60, so it fits exactly. The other numbers would give different results when taking 30% (for example, 30% of 180 is 54, of 210 is 63, and of 240 is 72), so 200 is the correct value.

Percent means a portion of a whole, so 30% of x is (30/100) × x. If that equals 60, set up (0.30) × x = 60 and solve for x by dividing both sides by 0.30: x = 60 ÷ 0.30 = 200. Quick check: 30% of 200 is 60, so it fits exactly. The other numbers would give different results when taking 30% (for example, 30% of 180 is 54, of 210 is 63, and of 240 is 72), so 200 is the correct value.

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