the ratio of boys to girls in a club is 7:4, there are 21 fewer girls than boys , what is the total number of children in the club?
let the number of boys be 7x and the number of girls be 4x
7x - 4x = 21
3x = 21
x = 7
so there are 49 boys and 28 girls for a
total of 77
Ggbbb
Good
To find the total number of children in the club, we need to determine the number of boys and girls separately. Let's start by assigning variables to the unknown values.
Let's say the number of boys is represented by "7x" (since the ratio of boys to girls is 7:4), where "x" is a constant.
Similarly, the number of girls can be represented as "4x" (with the same logic).
According to the given information, there are 21 fewer girls than boys. This can be expressed as an equation:
4x = 7x - 21
To solve this equation, let's isolate "x" to find its value:
4x - 7x = -21
-3x = -21
x = (-21) / (-3)
x = 7
Now that we have the value of "x," we can substitute it back into the expressions for boys and girls to find the number of each:
Number of boys = 7x = 7 * 7 = 49
Number of girls = 4x = 4 * 7 = 28
Finally, the total number of children in the club is calculated by adding the number of boys and girls:
Total = Number of boys + Number of girls
Total = 49 + 28
Total = 77
Therefore, there are 77 children in the club.