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?
+23246 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).
