Mrs coopers 5th grade class has 11 more girls than boys. There are 35 students in all. How many girls are there?
x + x + 11 = 35
2x + 11 - 11 = 35 - 11
2x = 24
x = 12 boys
12 + 11 = ______ girls
23
work:
35-11=24
24/2=12 boys
12+11=23 girls
to check work:
23+12=35
Let's assume the number of boys in Mrs. Cooper's 5th-grade class is B. Therefore, the number of girls in the class would be B + 11, as there are 11 more girls than boys.
According to the problem, the total number of students in the class is 35. So, we can write the equation:
B + (B + 11) = 35
Simplifying the equation:
2B + 11 = 35
Subtracting 11 from both sides of the equation:
2B = 35 - 11
2B = 24
Dividing both sides by 2:
B = 24 / 2
B = 12
Therefore, there are 12 boys in Mrs. Cooper's 5th-grade class.
To find the number of girls, we can substitute the value of B back into the equation:
B + 11 = 12 + 11 = 23
So, there are 23 girls in Mrs. Cooper's 5th-grade class.
To find the number of girls in Mrs. Cooper's 5th-grade class, we can set up a system of equations.
Let's use the variable G to represent the number of girls and B to represent the number of boys. We know that there are 35 students in total, so the first equation we can write is:
G + B = 35
We also know that there are 11 more girls than boys, so we can write another equation:
G = B + 11
Now, we can substitute the second equation into the first equation to eliminate one of the variables:
(B + 11) + B = 35
Simplifying this equation, we get:
2B + 11 = 35
Next, we can isolate the variable B by subtracting 11 from both sides:
2B = 35 - 11
2B = 24
Finally, dividing both sides of the equation by 2, we find that B, the number of boys, is:
B = 24 / 2 = 12
Now, we can substitute the value of B back into the second equation to find the number of girls:
G = 12 + 11 = 23
Therefore, there are 23 girls in Mrs. Cooper's 5th-grade class.