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Anna has 20 plain cookies and 28 chocolate cookies. She is packing them into several boxes of the same size. She wants each box to have the same ratio between the two cookie types.What is the greatest number of boxes of cookies that she can she pack?

Question

Anna has 20 plain cookies and 28 chocolate cookies. She is packing them into several boxes of the same size. She wants each box to have the same ratio between the two cookie types.What is the greatest number of boxes of cookies that she can she pack?

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the number of plain cookies and chocolate cookies. The GCD is the largest number that divides both numbers without leaving a remainder.

Step 1: Find the GCD of 20 (plain cookies) and 28 (chocolate cookies).

The factors of 20 are: 1, 2, 4, 5, 10, 20. The factors of 28 are: 1, 2, 4, 7, 14, 28.

The greatest common factor (GCD) of 20 and 28 is 4.

Step 2: The GCD is the greatest number of boxes Anna can pack while maintaining the same ratio of plain to chocolate cookies in each box.

So, Anna can pack 4 boxes of cookies.

This problem has been solved

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