Question 1025209
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 A certain ball dropped from a height will bounce half the height of its previous bounce for the first two bounces.  
When the ball hits the floor the third time, it will have traveled a total of 35 feet.  What height was the bomb dropped? 
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Your guiding equation is

{{{x + ((1/2)x + (1/2)x) + ((1/4)x + (1/4)x))}}} = {{{35}}}.

Simplify it:

{{{x + x + (1/2)x}}} = {{{35}}},   or

2.5x = 35.

Hence, x = {{{35/2.5}}} = 14 feet.
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