In Fred’s class there are 7 more boys than girls. There are 33 students in all. How many girls are there is Fred’s class?

Question

Please explain how to do this problem.

In Fred’s class there are 7 more boys than girls. There are 33 students in all. How many girls are there is Fred’s class?

Answer 1

Hello, thank you for taking the time to post your question!

The key on this type of question is to set up a relationship to relate the variables given. In this case if you use “g” to represent the number of girls in the class we know that

g + (g + 7) = 33   since boys = g + 7 and the total should be 33

from there then you want to combine like terms and solve for the value of “g” algebraically

2g + 7 = 33

2g = 26

g = 13

meaning that there are 13 girls in the class

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

B + G = 33

B = 7+G

7+G +G = 33

2G = 26

G = 13 Girls

B = 20 Boys