Carlos is packing snacks for treats at a party. Every sack has exactly the same treats in it. Carlos has 96 granola bars and 64 small popcorn balls. What is the greatest number of treat sacks Carlos can make?

step-by-step explanation:

1

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

the second option

step-by-step explanation: