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Cody and Tyler were once the same height. Since then, Tyler's height has increased by 20%, while Cody has grown half as much. If Tyler is 4 feet tall now, how many inches tall is Cody now?

 Apr 28, 2020
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If Tyler's original height was  x  it is now  x + 0.20x  or  1.20x.

Since he is not 4 feet tall:  1.20x  =  4   --->   x  =  4 / 1.2  =  3.33.

 

So, both Tyler and Cody were 3.33 feet (or 3 feet 4 inches)

 

If Cody grew at 10%, we need to add 10% to his original height:  10% of 3 feet is 0.30 feet or 3.6 inches.

Also, 10% of 4 inches is 0.40 inches.

 

Starting with 3 feet 4 inches and adding 3.6 inches and 0.40 inches, we get 3 feet 8 inches.

 Apr 28, 2020

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