Question

In Ms. Renault's classroom, 2/5 of the students play sudoku. Of the student who play sudoku, 5/6 also play checkers. If there are 30 students in her class, how many play sudoku and checkers?

Answer 1

In Ms. Renault's class of 30 students, 12 students play sudoku and 10 of those also play checkers.

Step-by-step explanation:

To find out how many students in Ms. Renault's class play both sudoku and checkers, we first need to determine the number of students who play sudoku. Since there are 30 students in the class, and 2/5 of them play sudoku, we calculate this by multiplying 30 (the total number of students) by 2/5 (the fraction that plays sudoku).

Number of students who play sudoku:
30 × (2/5) = 12

Next, we know that 5/6 of the students who play sudoku also play checkers. Thus, we multiply the number of sudoku players by 5/6 to find the amount who play both games.

Number of students who play both sudoku and checkers:
12 × (5/6) = 10

Therefore, 10 students in Ms. Renault's class play both sudoku and checkers.

Answer 2

10 students play sudoku and checkers

Step-by-step explanation:

First find the number of students that play sudoku

2/5 * 30

12

of those 12 students, 5/6 play checkers

12 * 5/6 = 10

10 students play sudoku and checkers