Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. he wants to split them into equal identical bags to sell at the bake sale. what is the greatest number bags of cookies victor can make?

  6

Step-by-step explanation:

The greatest common factor (GCF) of 18, 24, and 30 is 6.

Victor can make at most 6 bags with equal numbers of each type of cookie.

18 = 6×3

24 = 6×4

30 = 6×5

One way to look for the GCF is to consider the differences between the numbers. The smallest difference between any pair is 6, which also divides all of the numbers evenly. Hence 6 is the GCF.

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

a

step-by-step explanation: