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What is the quotient of \( 4625 \div 15 \) ? Write a word problem to match this expression

Ask by Kelly Ruiz. in the United States
Mar 19,2025

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Tutor-Verified Answer

Answer

Each bin will receive \(308\) tickets, with \(1\) ticket remaining.

Solution

1. First, express the division as a fraction: \[ 4625 \div 15 = \frac{4625}{15} \] 2. Simplify the fraction by dividing the numerator and the denominator by \(5\): \[ \frac{4625}{15} = \frac{4625 \div 5}{15 \div 5} = \frac{925}{3} \] 3. Convert the improper fraction to a mixed number. Divide \(925 \div 3\): - \(3 \times 308 = 924\) - Remainder: \(925 - 924 = 1\) Therefore, \[ \frac{925}{3} = 308\frac{1}{3} \] 4. The exact quotient is: \[ 308\frac{1}{3} \quad \text{or} \quad \frac{925}{3} \] In decimal form, this is approximately \(308.3333\ldots\). --- A word problem to match this expression: *Jordan is organizing a charity event. He has \(4625\) donated raffle tickets that he wants to evenly distribute among \(15\) different prize bins. If he places the tickets as evenly as possible, how many tickets will each bin receive?*

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Bonus Knowledge

To find the quotient of \( 4625 \div 15 \), we can calculate it as follows: First, let’s perform the division: \( 4625 \div 15 = 308.33 \) (approximately). Now, for a fun word problem: Sarah is organizing a charity event and needs to provide gift bags for attendees. She has 4,625 pieces of candy to distribute, and she wants to put the same number of candies in each bag, with a bag being able to hold 15 pieces. If she can make as many complete bags as possible, how many bags can she fill with candies?

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