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Sumon is playing a shooting game at the carnival. He is given dollar if he hits target, but has to pay one dollar if he misses the target. After playing 100 times, he earned 30 dolllars. How many times did he hit the target?

 Jan 12, 2020
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Let  W  =  number of wins.

Let  L  =  number of losses.

 

Since he played  100  times:     W + L  =  100

Since he earned  30  dollars, he had  30  more wins than losses:  W  =  L + 30

 

Combining:  W  +  L  = 100  and  W  =  L + 30:

                (L + 30) + L  =  100

                       2L + 30  =  100

                                2L  =  70

                                  L  =  35

 

So, he had  65  wins (or hits).

 Jan 12, 2020

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