If 9/15 equals x/25, what is x?

Prepare for the GMAS 6th Grade Mathematics Test with guided quizzes. Study using flashcards and multiple-choice questions with detailed hints. Succeed in your math exam!

Multiple Choice

If 9/15 equals x/25, what is x?

Explanation:
You're working with a proportion: two ratios are equal. Since 9/15 = x/25, you can simplify 9/15 to 3/5. So 3/5 = x/25, and cross-multiplying gives 3·25 = 5x, which is 75 = 5x, so x = 15. You could also cross-multiply directly from the original form: 9·25 = 15·x, leading to x = 225/15 = 15. In either path, the value that preserves the equal ratios is 15.

You're working with a proportion: two ratios are equal. Since 9/15 = x/25, you can simplify 9/15 to 3/5. So 3/5 = x/25, and cross-multiplying gives 3·25 = 5x, which is 75 = 5x, so x = 15. You could also cross-multiply directly from the original form: 9·25 = 15·x, leading to x = 225/15 = 15. In either path, the value that preserves the equal ratios is 15.

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