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At the fair the ratio of males to females was 10 to 4. If there are 1120 people at the hair how many males are there?

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Final answer:

To find the number of males at the fair, we can use the given ratio of males to females and set up a proportion. By solving the proportion, we find that there are 3500 males at the fair.

Step-by-step explanation:

To find the number of males at the fair, we need to use the given ratio of males to females, which is 10 to 4. The ratio 10 to 4 can be simplified to 5 to 2 by dividing both numbers by their greatest common factor, which is 2. So, for every 5 males, there are 2 females.

Now, we can set up a proportion. Let x be the total number of people at the fair. We can write the proportion as:

10/4 = x/1120

Cross multiplying, we get:

10 * 1120 = 4 * x

Simplifying, we have:

11200 = 4x

Dividing both sides by 4, we find:

x = 2800

So, there are 2800 people at the fair. To find the number of males, we can multiply the ratio 5 to 2 by the total number of people:

5/2 * 2800 = 7000/2 = 3500 males.

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