Solve Mixture Problems with Proportions Quick Check
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Question
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)
Responses
200 students
200 students
124 students
124 students
50 students
50 students
250 students
The correct answer is 50 students.
To solve this problem, we can set up a proportion. Let "x" represent the number of seats in the band. Since there are four times as many seats in the choir, there would be 4x seats in the choir.
The total number of seats in both the band and choir would be x + 4x = 250 students.
Combining like terms, we get 5x = 250.
Dividing both sides of the equation by 5, we find that x = 50.
Therefore, there are 50 seats in the band, which means 50 students can choose band.