There are 54 students in the orchestra and twice that number in the band. There are 10 boys and 37 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 54 students in the orchestra and twice that number in the band. There are 10 boys and 37 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?
Solution
First, let's find out how many students are in the band. Since there are twice as many students in the band as in the orchestra, we multiply the number of students in the orchestra by 2.
54 (orchestra) * 2 = 108 students (band)
Next, let's find out how many students are in the choir. We know there are 10 boys and 37 girls, so we add these two numbers together.
10 (boys) + 37 (girls) = 47 students (choir)
Finally, to find the total number of students in all three groups, we add the number of students in the orchestra, the band, and the choir together.
54 (orchestra) + 108 (band) + 47 (choir) = 209 students
So, there are 209 students in total in the orchestra, the band, and the choir.
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