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.
Write an expression that represents the number of girls in the chorus if b represents the number of boys.
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.
Use your equation to determine the number of boys and girls in the chorus. Show your work.
I don't really know how to solve this, can someone help?
b= 31.5
or
b=21
?????
Sure! Let's break it down step by step.
Step 1: Expression representing the number of girls in the chorus
The problem states that the number of girls in the chorus is 13 more than twice the number of boys. So, we can write the expression as:
Number of girls = 2b + 13
Step 2: Writing the equation
We need to write an equation that relates the number of boys (b) and the number of girls in the chorus. The total number of students in the chorus is given as 76, so the equation can be written as:
Number of boys + Number of girls = Total number of students
b + (2b + 13) = 76
Step 3: Solving the equation
To solve the equation, we need to simplify and combine like terms:
3b + 13 = 76
Next, we isolate the variable b by subtracting 13 from both sides of the equation:
3b = 76 - 13
3b = 63
Finally, we divide both sides of the equation by 3 to solve for b:
b = 63 / 3
b = 21
Step 4: Finding the number of girls
To find the number of girls in the chorus, we substitute the value of b back into the expression we obtained in step 1:
Number of girls = 2b + 13
Number of girls = 2(21) + 13
Number of girls = 42 + 13
Number of girls = 55
Therefore, there are 21 boys and 55 girls in the Breezewood Middle School chorus.
A. 2b + 13 girls.
B. b + (2b+13) = 76,
b =
2b+13 =
twice the number of boys ----> 2b
13 more than twice the number of boys ----> 2x+13
so ....