We are told that 25 of the 30 students in Ms. Barclay's classroom play chess. We also know that 56 of students who play chess also play sudoku. We are asked to find the number of students that play chess and sudoku.
Students playing both games= 56of 25
Let's find a fraction of the whole class of students that play chess and sudoku! We will split the class into 5 equal parts and shade 2 of them red to represent the students that play chess.
Next, we know that 56 of the students that play chess also play sudoku. To find the fraction of students that play both games, we will split the class into 6 columns and shade 5 of them blue. The parts that are colored both red and blue will represent students that play both games!
We can see that 10 of 30 parts are shaded both blue and red. This means that 1030 of the students play both chess and sudoku. Notice that we just visualized multiplying 56 by 25!
5/6*2/5=5* 2/6* 5=10/30
Finally to find the number of all the 30 students in Ms. Barclay's classroom that play both chess and sudoku, we will multiply 1030 by 30.
