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For a Cinco de Mayo party, Deion is placing sets of chips and salsa throughout the house. He has 15 bags of chips and 18 jars of salsa, which he wants to distribute evenly with no bags of chips or jars of salsa left over. What is the greatest number of places Deion can put the chips and salsa?

Question

For a Cinco de Mayo party, Deion is placing sets of chips and salsa throughout the house. He has 15 bags of chips and 18 jars of salsa, which he wants to distribute evenly with no bags of chips or jars of salsa left over. What is the greatest number of places Deion can put the chips and salsa?

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the number of bags of chips (15) and jars of salsa (18). The GCD is the largest number that can divide both numbers without leaving a remainder.

Here are the steps to find the GCD:

  1. List the prime factors of each number:

    • Prime factors of 15: 3, 5
    • Prime factors of 18: 2, 3, 3

  2. Identify the common prime factors: 3

  3. Multiply the common prime factors together: 3

So, the greatest number of places Deion can put the chips and salsa is 3.

This problem has been solved

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