Polly and her friends want to make matching outfits for twin day at school. they have 51 yards of cloth. if each outfit requires 2 2/5 yards of material, how many outfits can they make?

21

Step-by-step explanation:

Total cloth length = 51 yards

Cloth requirement for each outfit = 2 2/5 = 12/5 yards

Total possible number of outfits can be calculated by dividing to total cloth length by the length of each outfit.

Total outfits = 51/ (12*5)

=>  (51*5)/12

=> 21.25

As the number of suits is always an interger, so the total number of outfits made by 51 yards of clocth are 21

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