Dominic is 72 inches tall and casts a 60 inch shadow . His son who is standing next to him casts a 50 and shadow .How tall is his son?

Step-by-step explanation:

It is a ratio.  Set it up like fractions.  Dom's height over his shadow and his son's height over his shadow.  72/60:x/50

We don't know the son's height, so we substitute with 'x'.

Now reduce the first fraction.  72/60

What number goes into both? A factor tree will show that 12 will go into both, so divide top and bottom by 12.

72 divided by 12 =6  and 60 divided by 12 =5.  So, now our ratio looks like:

6/5 : x/50  Find out how many times 5 goes into fifty.  Answer is 10.  You have to multiply 5 by 10 to get to 50, so you have to multiply 6 by 10 to get to x.

6 time 10 = 60

Dominic's son is 60minches tall.

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