and choir. The ratio of students in band to students in choir is 3:4. If there are 60 students in total, how many students are in band and how many students are in choir?
To solve this problem using proportional relationships, we can set up the ratio of students in band to students in choir as 3/4, since the ratio is given as 3:4.
Let's say the number of students in band is 3x and the number of students in choir is 4x, where x is a constant multiplier.
The total number of students is given as 60, so we can set up the equation:
3x + 4x = 60
Combine like terms:
7x = 60
Divide both sides of the equation by 7:
x = 60/7
Simplify:
x = 8.57
Since we can't have a fraction of a student, we can round x to the nearest whole number, which is 9.
Therefore, the number of students in band is 3x = 3 * 9 = 27 students.
The number of students in choir is 4x = 4 * 9 = 36 students.
So, there are 27 students in band and 36 students in choir.
Use proportional relationships to solve this mixture problem the incoming 6th grade class has a choice between band
1 answer
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