the ratio of the number of men to the number of women in a club is 5:7. There are 12 more women than men. How many members are there altogether?

Answer 1

Let's use the variable , m, to represent the number of men in the club.

Then we can write the following expression to represent the number of women: m + 7

Now using equivalent ratios , we can write the following:

5 men = m

7 women (m + 12)

Using cross products, we can write:

5 (m + 12) = 7m

Now we can solve this equation for m using the distributive property and inverses operations:

5m + 60 = 7m

5m + 60 - 5m = 7m - 5m

60 = 2m

60/2 = 2m/2

30 = m

There are 30 men. They will be 12 more women or 42 women.

In total, there are 30 + 42 = 72 total members