the male elephant at the city zoo weigh 8,000 pound, which is the same as 4 tons. the female elephant weigh 7,000 pounds. how many tons does she weigh?

3.5 tons

Step-by-step explanation:

Divide the pounds for the male by the amount of tons it is.

8000/4 = 2000

This is how many pounds are in one ton.  Divide the weight of the female by this.

7000/2000 = 3.5

The female weighs 3.5 tons.

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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