The Knicks and Nets have a total 30 players.They scored a total of 500 points after a fewgames. If the Knicks players always score 20points per game and the Nets players alwaysscore 10 points per game, how many Knicksplayers are there?E. 10F. 15G. 20H. 25
Accepted Solution
A:
Answer:Step-by-step explanation:From the problem statement, we can set up the following two equations:[tex]K + N = 30[/tex][tex]20K + 10N = 500[/tex]where [tex]K[/tex] is the number of Knicks players, and [tex]N[/tex] is the number of Nets players.We can substitute the first equation into the second and solve for [tex]K[/tex][tex]K + N = 30[/tex][tex]N = 30 - K[/tex][tex]20K + 10N = 500[/tex][tex]20K + 10(30 - K) = 500[/tex][tex]20K + 300 - 10K = 500[/tex][tex]10K + 300 = 500[/tex][tex]10K = 200[/tex][tex]K = 20[/tex]