in a class of 18 students at school there are half as many girls as boys. How many girls are in the class? how many boys?
6 girls, 12 boys
To find out the number of girls and boys in the class, we can set up an equation based on the given information.
Let's denote the number of boys as 'B' and the number of girls as 'G'.
According to the information provided, there are half as many girls as boys. This can be expressed as:
G = (1/2)B
Next, we are given that there are 18 students in total in the class. So, the sum of the number of boys and the number of girls should be equal to 18:
B + G = 18
Now we can substitute the value of G from the first equation into the second equation:
B + (1/2)B = 18
Combining like terms, we get:
(3/2)B = 18
To isolate B, we can multiply both sides of the equation by (2/3):
B = (2/3) * 18
B = 36/3
B = 12
Now that we have found the number of boys (12), we can substitute this value into the first equation to find the number of girls:
G = (1/2) * 12
G = 6
Therefore, there are 6 girls and 12 boys in the class.