Question

A player scored 105 points in a single professional basketball game. He made a total of 65 baskets, consisting of free throws (worth two points) and foul shots (worth one point). Find the number of free throws and the number of foul shots that the player made

Answer 1

number of free throws = F, number of foul shots = f. total number of baskets = 65
=> F+f = 65.
for every free throw player gets 2 points and for every foul shot player gets 1 point.
Total number of points => 2F+f = 105.

By solving these 2 equations F (Free throws) = 45, f(fouls) = 20