Mrs. Lim has 56 cups and 64 glasses. If she will put them in trays of cups and trays of glasses with the same number, what is the biggest number of cups or glasses that a tray will contain?

Problem isn't worded so clearly, but I think it is asking for the Greatest Common Factor of 56 and 64. e.g. what is the greatest number that divides evenly into both 56 and 64?

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The answer is 8! 56/8 = 7, and 64/8 = 8

I got this mainly through intuition and thorough knowledge of my times tables, so you should be fine on your own too :) and a little trial and error can't hurt either...

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If she will put them in trays of cups andbtrays of glasses with thevsame number what is the biggest number of cups or glasses that a tray willcontain

yes

To find the biggest number of cups or glasses that a tray will contain, we need to find the greatest common divisor (GCD) of 56 and 64.

Step 1: Find the prime factors of both numbers.
56: 2 × 2 × 2 × 7
64: 2 × 2 × 2 × 2 × 2 × 2

Step 2: Identify the common prime factors shared by both numbers.
There are three 2's common to both numbers.

Step 3: Multiply the common prime factors to find the GCD.
GCD = 2 × 2 × 2 = 8

Therefore, the biggest number of cups or glasses that a tray will contain is 8.