Verified Answer :

Kyle received 60/100 on his algebra test.  If he scored 3 points, how many points was the test out of? Answer is 5.

Answer:

A tree of 60 feet casts the shadow of 100 feet, at the same time, what is the length of the shadow of a boy who is 3 feet tall ?

Solution :

Let b represents the length ( in ft ) of the shadow of the boy,

∵ Height of the boy = 3 ft,

So, the ratio of the height of boy and his shadow = \(\frac{3}{b}\)

Now, the tree of 60 ft long casts 100 ft shadow,

So, the ratio of height of tree and its shadow = \(\frac{60}{100}\)

At the same time,

\(\frac{3}{b}=\frac{60}{100}\)

Which is the required equation.

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