Answer :
To solve the problem of finding out how many students in Senter's classroom play both checkers and chess, follow these steps:
1. Determine the Total Number of Students:
- The class has a total of 30 students.
2. Find the Number of Students Who Play Checkers:
- We know that [tex]\(\frac{3}{5}\)[/tex] of the students play checkers.
- To find this number, multiply the total number of students by [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[
\text{Students who play checkers} = 30 \times \frac{3}{5} = 18
\][/tex]
3. Determine How Many of These Checkers Players Also Play Chess:
- Of the students who play checkers, [tex]\(\frac{5}{6}\)[/tex] also play chess.
- Multiply the number of students who play checkers by [tex]\(\frac{5}{6}\)[/tex] to find how many play both games:
[tex]\[
\text{Students who play both checkers and chess} = 18 \times \frac{5}{6} = 15
\][/tex]
So, there are 15 students who play both checkers and chess.
1. Determine the Total Number of Students:
- The class has a total of 30 students.
2. Find the Number of Students Who Play Checkers:
- We know that [tex]\(\frac{3}{5}\)[/tex] of the students play checkers.
- To find this number, multiply the total number of students by [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[
\text{Students who play checkers} = 30 \times \frac{3}{5} = 18
\][/tex]
3. Determine How Many of These Checkers Players Also Play Chess:
- Of the students who play checkers, [tex]\(\frac{5}{6}\)[/tex] also play chess.
- Multiply the number of students who play checkers by [tex]\(\frac{5}{6}\)[/tex] to find how many play both games:
[tex]\[
\text{Students who play both checkers and chess} = 18 \times \frac{5}{6} = 15
\][/tex]
So, there are 15 students who play both checkers and chess.
