in a class of 35 students, there are 5 more boys than girls. how many boys are in the class

Question

 solve each problem using and equation and check the solution

 

Answer 1

Let b = boys and g = girls

 

b + g = 35 

b = g + 5 

 

Solve the system by substitution:

(g+5) + g = 35

2 g + 5 = 35

2g = 30

g = 15

 

Now that we know the number of girls we can find the number of boys:

b = g + 5

b = 15 + 5

b = 20

 

There are 20 boys in class.

Answer 2

Good Morning, Nadisha,

The following expressions will assist you and me in solving the problem. 

Let x be girls. 

Let x + 5 be boys. 


When added together, these two expressions, we are told, should equal 35, right? Therefore: 

x + x + 5 = 35 <---girls plus boys 

2x + 5 = 35 <---Combine like terms. 


2x = 30  <----subtract five from both sides of the equation. 



x = 15 <----the number of girls in the class. 

x + 5 = 20 <---the number of boys in the class. 

Check our work now, right? 

(1) Does our answer show five more boys than girls? Yes. 
(2) Placing the original equation we used we have the following substituting 15 for x. 

x + x  + 5 = 35 
15 + 15 + 5 = 35 
35 = 35 

The solution checks out and the answer is accurate, therefore, the following is the answer: 

15 girls in the class 
20 boys in the class 

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