There are 40 students at Bali High who play stringed instruments. Of these, 1/4 play viola, 1/5 play cello, and the rest play violin. How many students play violin?
(SHOW ALL WORK)
1/4 = 5/20
1/5 = 4/20
5/20 + 4/20 = 9/20
20/20 - 9/20 = 11/20
11/20 * 40 = ?
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To find out how many students play violin, we first need to determine the number of students who play viola and cello.
1. Students who play viola: We know that 1/4 of the total students play viola. To find this number, we multiply the total number of students by 1/4:
Number of students who play viola = 40 * 1/4 = 10
2. Students who play cello: We know that 1/5 of the total students play cello. To find this number, we multiply the total number of students by 1/5:
Number of students who play cello = 40 * 1/5 = 8
Now, we can calculate the number of students who play violin by subtracting the number of students who play viola and cello from the total number of students:
Number of students who play violin = Total number of students - Number of students who play viola - Number of students who play cello
= 40 - 10 - 8
= 22
Therefore, 22 students play violin at Bali High.