2. Mrs. Cruz has 36 cups and 54 glasses. If she will put them in several trays with the same number of cups and glasses, what is the biggest number of
each kind in every tray?
A. What is asked in the problem?
B. What facts are given?
C. What is/are the key word/s
.. How will you solve the problem?
What is the answer to the problem?​

Bassically the answer is asking what is the GCF of 36 and 54.

The facts/key words given are "biggest number" and "each kind in every tray"

The answer is 18.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4