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?
Solution
Let's solve this step by step:
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We know that the ratio of boys to girls is 19:20. This means that for every 19 boys, there are 20 girls.
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We also know that there are 20 more girls than boys.
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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.
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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.
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If we subtract 19x from both sides of the equation, we get x = 20.
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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.
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