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)
Let's say the number of seats in band is x. Since there are four times as many seats in choir as in band, the number of seats in choir is 4x.
The total number of students choosing band and choir is x + 4x = 5x. We know that the total number of students is 250, so we can write the equation 5x = 250.
Dividing both sides of the equation by 5, we get x = 50.
Therefore, there are 50 students who can choose band.
Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?(1 point)
huh?
To solve this mixture problem using proportional relationships, we can set up a proportion between the number of seats in the band and the number of seats in the choir.
Let x represent the number of seats in the band.
Since there are four times as many seats in the choir as in the band, the number of seats in the choir would be 4x.
According to the problem, the total number of students is 250. So, the sum of the number of seats in the band and the number of seats in the choir should equal 250.
Therefore, we have the equation:
x + 4x = 250
Combining like terms:
5x = 250
Now, solve for x by dividing both sides of the equation by 5:
x = 250/5
x = 50
So, there are 50 seats in the band.