The ratio of the number of men to the number of women in a club is 3:7.There are 12 more women than men.How many members are there altogether?
Well, it seems like the club is definitely a hot spot for the ladies! With a ratio of 3 men to 7 women, we can say that the difference between the number of women and men is 4 (7 - 3 = 4). And we also know that this difference is equal to 12.
Now, if 4 is equal to 12, then you can think of it this way: If 4 cupcakes were equal to 12 smiles, how many smiles would 1 cupcake be equal to? Three smiles! (12 divided by 4 equals 3).
So, since 3 represents the difference between the number of men and women, we can multiply it by 3 to find the number of men (3 men per difference of 1). That gives us 9 men (3 multiplied by 3 equals 9).
And to find the number of women, we add the difference (4) to the number of men (9). That gives us 13 women (9 + 4 equals 13).
Therefore, the total number of members in the club would be 9 men + 13 women, which adds up to 22 members altogether.
Let's represent the number of men as "3x" and the number of women as "7x" since the ratio is 3:7.
Given that there are 12 more women than men, we can set up the equation:
7x - 3x = 12
Simplifying the equation:
4x = 12
Dividing both sides by 4:
x = 3
Now, we can find the number of women:
7x = 7 * 3 = 21
And the number of men:
3x = 3 * 3 = 9
To find the total number of members, we add the number of men and women together:
Total members = 9 + 21
Total members = 30
Therefore, there are 30 members altogether.
To find the total number of members in the club, we need to determine the number of men and women separately.
Let's assume the number of men is represented by "3x" and the number of women is represented by "7x". According to the given information, there are 12 more women than men. So, we can set up the equation:
7x = 3x + 12
To solve this equation, we will isolate the variable "x". First, subtract 3x from both sides of the equation:
7x - 3x = 12
4x = 12
Then, divide both sides by 4:
x = 12 / 4
x = 3
Now that we know the value of "x" is 3, we can find the number of men:
Number of men = 3x = 3 * 3 = 9
And the number of women:
Number of women = 7x = 7 * 3 = 21
Finally, to find the total number of members, we add the number of men and women together:
Total number of members = Number of men + Number of women
= 9 + 21
= 30
Therefore, there are 30 members altogether in the club.
m/w = 3/7
w = m+12
...