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
band seat = 1/4 * choir seat
band seat + choir seat = 250
Substituting the first equation into the second equation, we get:
1/4 * choir seat + choir seat = 250
5/4 * choir seat = 250
choir seat = 250 * 4/5
choir seat = 200
Since there are four times as many choir seats as band seats, we have:
band seat = 1/4 * 200
band seat = 50
Therefore, 50 students can choose band.