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The ratio of men to women at a party was 6:7, respectively. There were 21 women. Calculate the number of people at the party.A.52B.44C.18D.39

Question

The ratio of men to women at a party was 6:7, respectively. There were 21 women. Calculate the number of people at the party.A.52B.44C.18D.39

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Solution

To solve this problem, we need to follow these steps:

  1. We know that the ratio of men to women is 6:7. This means that for every 6 men, there are 7 women.

  2. We also know that there are 21 women at the party.

  3. To find out how many men there are, we need to set up a proportion. We can set it up like this: 6/7 = x/21, where x is the number of men.

  4. To solve for x, we cross-multiply: 621 = 7x.

  5. This gives us 126 = 7x.

  6. To solve for x, we divide both sides by 7: x = 126/7 = 18. So there are 18 men at the party.

  7. To find the total number of people at the party, we add the number of men and women: 18 men + 21 women = 39 people.

So, the answer is D.39.

This problem has been solved

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