Question

There are 76 students in the Breezewood Middle School chorus. The number of girls in the chorus is 13 more than twice the number of boys.
A.Write an expression that represents the number of girls in the chorus if b represents the number of boys.
B.Using your expression from Part A, write an equation that could be used to determine the number of girls and boys in the chorus. Hint: the only variable in your equation should be b.
C. Use your equation to determine the number of boys and girls in the chorus. Show your work.

Answer 1

A. Number of girls = $2 b+13$ .

B. Number of boys = b & Number of girls = $2 b+13$

C. Number of girls = 55 & Number of boys = 21.

Step-by-step explanation:

Part A:

We have total 76 students in Breezewood Middle School chorus where number of girls in the chorus is 13 more than twice the number of boys , let b represents the number of boys so , Number of girls = $2 b+13$ .

Part B:

From part A we have, Number of boys = b & Number of girls = $2 b+13$ and  total 76 students in Breezewood Middle School chorus.

Part C:

According to Question,

total number of students = Number of girls + Number of boys

$\begin{array}{c}76=2 b+13+b \\63=3 b\end{array}$

$b=21$ is number of boys.

Now, Number of girls = $2 b+13=2 \times 21+13=55$.

∴ Number of girls = 55 & Number of boys = 21.