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

Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Get ready for your 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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