Question: total of 40 students in class, boys number is double of the girls number. How many boys & girls in the class?

Working as follow:

a = boy b = girl

2a + b = 40

2a + 2a = 40

4a =40
a =10

b=2a

b = 2x 10
b = 20

So a=10, b= 20. Total only 30, not 40 . Why?

Thanks

So girls make up 1/3 of group, while boys make up 2/3.

1/3 *40 = 13. 3 rounded to 13

40 - 13 = 27

Do you have typos?

To solve this problem, you correctly set up the equation:

2a + b = 40

However, when you substituted the value of "a" back into the equation, you made a mistake. Instead of writing "2a + 2a = 40," it should be "2a + b = 40."

So, let's correct your mistake:

2a + b = 40
2(10) + b = 40
20 + b = 40

Now, to solve for "b," we need to isolate it:

b = 40 - 20
b = 20

So, the number of boys is 10, and the number of girls is 20, which adds up to the desired total of 40 students in the class.