A basketball coach applies the following scoring system in her shooting for the shot: each player receives 5 points for a shot and loses 2 points for a shot missed. After 50 pitches, one of the players scored 124 points. What is the difference between this player's number of hits and misses?
What we have here is a system of equations, an equation to describe the number of shots, and another to determine the number of points. So we have x plus y, the number of shots, and we know the number of shots is 50. Let's say x is the shot worth 5 points, and y is the shot that is lost 2 points. In the other equation we have x times 5, which is how many points you get, and minus y times 2 points how many points you lost, and we know that after 50 moves we have 124 points. After doing the two equations, just solve them. And we have the value of x as 32, that is 32 hits, and y is equal to 18, that is, 18 misses. So the number of hits minus the number of misses is x minus y. Which would be 32 minus 18, which is equal to 14, and the answer would be alternative b.
