The fifth grade marching band includes boys and girls.
There are 28 boys in the marching band.
The 28 boys are 7/10 of the students in the marching band.
a. What fraction of the students n the marching band are girls?
b. What is the total number of students in the marching band?
a 3/10?
b I do not know
Please answer and explain.
b.
(7/10)x = 28
x = 28 / (7/10)
x = 28 * (10/7)
x = 280 / 7
x = 40
Your answer for a is right.
a. To find the fraction of students in the marching band who are girls, we can subtract the fraction of boys from the whole. We know that the 28 boys are 7/10 of the students in the band, so we can find out how many girls are in the band by subtracting this fraction from 1 (since 1 represents the whole or 100%).
1 - 7/10 = 3/10
Therefore, the fraction of students in the marching band who are girls is 3/10.
b. In order to find the total number of students in the marching band, we need to determine the denominator of the fraction in part a. We know that the 28 boys are 7/10 of the students, so we can set up the following equation:
28 = (7/10) * Total number of students in the marching band
To solve for the total number of students, we multiply both sides of the equation by 10/7 (the reciprocal of 7/10):
Total number of students in the marching band = 28 * (10/7)
Simplifying:
Total number of students in the marching band = 40
Therefore, the total number of students in the marching band is 40.