ONE CLASS HAS 9 FEWER BOYS THAN GIRLS.TOGETHER THERE ARE 33 STUDENTS. WHAT IS THE NUMBER OF BOYS IN THE CLASS? THE NUMBER OF GIRLS?
Let G = girls
G + G - 9 = 33
2G = 24
G = 24/2
G = ?
To find the number of boys and girls in the class, we can set up a system of equations based on the given information.
Let's use B to represent the number of boys and G to represent the number of girls.
From the statement "One class has 9 fewer boys than girls," we know that:
B = G - 9
The total number of students in the class is 33, so the sum of boys and girls should equal 33:
B + G = 33
Now, substitute the value of B from the first equation into the second equation:
(G - 9) + G = 33
Combining like terms, we get:
2G - 9 = 33
Add 9 to both sides of the equation:
2G = 33 + 9
2G = 42
Divide both sides of the equation by 2:
G = 21
Now that we have the value of G, we can substitute it back into the first equation to find the number of boys:
B = G - 9
B = 21 - 9
B = 12
Therefore, the number of boys in the class is 12 and the number of girls is 21.
First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you.
Let x = # boys, then x + 9 = # of girls
x + x + 9 = 33
Solve for x, then x + 9.