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There are boys and girls in a club in the ratio 19:20There are 20 more girls than boys.How many girls are there?

Question

There are boys and girls in a club in the ratio 19:20.

There are 20 more girls than boys.

How many girls are there?

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Solution

Let's solve this step by step:

  1. We know that the ratio of boys to girls is 19:20. This means that for every 19 boys, there are 20 girls.

  2. We also know that there are 20 more girls than boys.

  3. Let's assume that the common multiplier for the ratio is x. So, the number of boys is 19x and the number of girls is 20x.

  4. According to the problem, the number of girls (20x) is 20 more than the number of boys (19x). So, we can set up the following equation: 20x = 19x + 20.

  5. If we subtract 19x from both sides of the equation, we get x = 20.

  6. Now that we know x, we can find the number of girls. The number of girls is 20x, so the number of girls is 20*20 = 400.

So, there are 400 girls in the club.

This problem has been solved

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