Now solve the entire problem: A company claims that their new bottle holds 25% more laundry soap. If their original container held 53 ounces of fluid soap, how much does the new container hold? 75 ounces
10.6 ounces
63.6 ounces
13.25 ounces
125 ounces
53 ounces
66.25 ounces
39.75 ounces
78 ounces

26

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

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