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A sports club is attended by adults in the ratio of 4 women for every 7 men. A total of 378 men attended the club yesterday. How many women attended?

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Let's use algebra to solve the problem.

We can start by finding the ratio of women to men attending the club. The ratio given is 4 women to 7 men, which can be written as:

4/7

We know that a total of 378 men attended the club. Let's use this information to find the total attendance of the club. We can set up a proportion with the ratio of women to men and the total attendance:

4/7 = women/378 men + women

We can simplify this equation by multiplying both sides by the common denominator of 7(378 men + women):

4(378 men + women) = 7 women

Simplifying this equation gives:

1512 men + 4 women = 7 women

Subtracting 4 women from both sides gives:

1512 men = 3 women

Dividing both sides by 3 gives:

504 men = women

Therefore, 504 women attended the sports club yesterday.

User Dalee Davis
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