173k views
2 votes
there are 10 less basketball players than volleyball players. the number of volleyball players is 3 times the number of basketball players. how many basketball players are there?

1 Answer

5 votes

Answer: There are five basketball players.

Explanation:

We can use substitution to solve this equation. The amount of volleyball players can be represented by V and basketball players by B.

10 less basketball than volleyball = V-10=B. This is our first equation.

Volleyball players are three times the # of basketball players is 3B=V. This is our second equation.

V-10=B and 3B=V will help us solve our problem.

Isolate either B or V on one side; I isolated V.

V-10=B can be turned into V=B+10.

Now, substitute V into the second equation. 3B=B+10. Subtract B from both sides to get 2B=10. Divide by 2 to get B=5.

That's our final answer for basketball players, but we can check our answer by plugging it into either equation. 3*5=15, meaning the amount of volleyball players is 15. 15-10=5, so this makes sense.

User TorbenL
by
7.4k points