Question

The ratio of men to women at a lecture is 2 to 5. A total of 63 people are at the lecture. How many are men? Explain how you found your answer.

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Answer 1

Explanation:

Let the number of men at the lecture be represented by '2x', and the number of women be represented by '5x', where x is some constant.

According to the given ratio, the total number of people at the lecture is 2x + 5x = 7x.

We know that the total number of people at the lecture is 63, so:

7x = 63

Solving for x, we get:

x = 9

Therefore, the number of men at the lecture is:

2x = 2(9) = 18

So, there are 18 men at the lecture.

To check, we can also calculate the number of women:

5x = 5(9) = 45

And the total number of people:

18 + 45 = 63

So our solution is correct.