A class of 40 children has four more boys than triple the number of girls. How many boys are there in the class?

Answer 1

Hello Saamarth,

First, let's assign some expressions to create an equation which represents the problem, okay?

Therefore:

Let x equal the number of girls

Let 3x + 4 equal the number of boys.

Second, we are told that the number of girls and boys equal 40. Therefore, we add the two expressions together and set them equal to 40.

Therefore:

x + 3x + 4 = 40

4x + 4 = 40

4x = 36

x = 9 <--------This is the number of girls.

3x + 4 = the number of boys. Therefore, we substitute 9 for x to determine how many boys there are.

3(9) + 4 =

27 + 4 =

31 <--------This is the number of boys,

Next, we check our answers to determine whether they are correct by substituting the above values. We were told there is a total number of 40 students. When we add the two do they equal 40?

31 + 9 + 40

Yes the answer checks and the solution is valid. I hope this assists and that you have a great week. If you wish to ask further questions, wish to provide feedback, or need clarity to this solution, please click the add comment button and leave the information directly beneath this solution. If you need one-on-one tutoring, please feel free to reach out to me. Best!