If 45 girls represent 62.5% of the students in a band, how many students are in the band? (1 point)
117
108
83
72
If 45 girls represent 62.5% of the students, then 100% of the students would be:
(100/62.5) x 45 = 72
Therefore, there are 72 students in the band.
Answer: 72
To find the total number of students in the band, we can set up a proportion.
Let x be the total number of students in the band.
So, we can write the proportion as:
(45 girls) / x = 62.5% / 100%
Now, let's solve for x.
First, we need to convert 62.5% to decimal form. To do this, we divide 62.5 by 100:
62.5 / 100 = 0.625
Now, we can rewrite the proportion as:
45 / x = 0.625
To solve for x, we can cross multiply:
45 * 1 = x * 0.625
Simplifying the equation:
45 = 0.625x
Dividing both sides of the equation by 0.625 to isolate x:
45 / 0.625 = x
Calculating the value of x:
x = 72
Therefore, there are 72 students in the band. So the correct answer is 72.