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There are 51 students in the orchestra and twice that number in the band. There are 19 boys and 23 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?

Question

There are 51 students in the orchestra and twice that number in the band. There are 19 boys and 23 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?

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Solution

Step 1: Identify the number of students in each group.

We know that there are 51 students in the orchestra.

Step 2: Calculate the number of students in the band.

The problem states that there are twice as many students in the band as in the orchestra. So, we multiply the number of students in the orchestra by 2.

51 students (orchestra) * 2 = 102 students (band)

Step 3: Identify the number of students in the choir.

The problem states that there are 19 boys and 23 girls in the choir. So, we add these two numbers together to find the total number of students in the choir.

19 boys (choir) + 23 girls (choir) = 42 students (choir)

Step 4: Add the number of students in each group to find the total number of students.

51 students (orchestra) + 102 students (band) + 42 students (choir) = 195 students total.

So, there are 195 students total in the orchestra, the band, and the choir.

This problem has been solved

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