There are boys and girls in a club in the ratio 19:9There are 20 more boys than girls.How many girls are there?

Let's solve this step by step:

1. The ratio of boys to girls is 19:9, which means for every 19 boys there are 9 girls.

2. Let's assume the common multiplier is x. So, the number of boys in the club is 19x and the number of girls is 9x.

3. According to the problem, there are 20 more boys than girls. So, we can set up the following equation: 19x = 9x + 20.

4. To solve for x, we subtract 9x from both sides of the equation: 19x - 9x = 20, which simplifies to 10x = 20.

5. To find the value of x, we divide both sides of the equation by 10: x = 20 / 10, which simplifies to x = 2.

6. Now that we know x = 2, we can find the number of girls by multiplying the number of girls in the ratio (9) by x: 9 * 2 = 18.

So, there are 18 girls in the club.