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
CHOOSE FROM THE ANSWERS SHOWN
124 students
124 students
200 students
200 students
250 students
250 students
50 students
If there are four times as many seats in choir as there are in band, then the ratio of choir seats to band seats is 4:1.
We can set up a proportion using this information:
4/1 = x/250
Cross-multiplying, we get:
4 * 250 = 1 * x
1000 = x
Therefore, 1000 students can choose band.
However, since the total number of students is only 250, it means that not all students can choose band.
Therefore, the correct answer is: 50 students can choose band.