There are 15 students in a chess club.There are 2 times as many boys as girls.How many girls are there.

Question

We have to write an equation and solve it.

Answer 1

Hello, Swarthi,

With such a problem, it is a good idea to underline or highlight the key words and numbers.

Let me give you an identical problem to the one you gave:

 

             total=18 boys and girls                     2x                    x smaller number

There are 18 students in the Art Club.  Twice as many girls as boys are in the

                        solve for "x."

Club.  How many boys are in the Club?

 

Setting up the equation:   Total=boys +girls                  

 

18=x + 2x=3x     Note:  x=1x  Collect like terms by adding numbers and "x's" together.  18=3x  

 

Now, divide both sides equation by number next to "x," which is "3."

 

18/3 =(3/3) x              6 boys=x      Therefore, 2x=2(6)=12 girls

 

This problem can be checked by substituting the values found into the original equation:  18=6 + 12   

                                                                                                                                18=18  Check (correct problem.) Just do your problem like the example I just gave you, and you will find your answers.  Susan C.

Answer 2

2x + x = 15

3x = 15

x=5

There are 5 girls.

 

Explanation: x is the number of girls.  Therefore the number of boys is 2 times that (2x).  The number of boys (2x) plus the number of girls (x) is equal to 15 people.  Then you solve for x, which is 5.