A factory can make 1125 shirts using 450 bolts of fabric. At this rate how many shirts can be made with 1 bolt of fabric?

2.5 shirts (perhaps 2 since you can't "make" half a shirt)

Step-by-step explanation:

450 bolts → 1125 shirts

1 bolt → 1125/450 shirts = 2.5 shirts

answer: sorry i can't you.

step-by-step explanation:

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