Question

The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are

Answer 1

Answer:

36 girls

solution,

Let the number of girls be X

Number of boys be 'x+24'

Now,

$\frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36$

hope this helps..

Good luck on your assignment..

Answer 2

Answer:

36

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

5x = 3x + 24

2x = 24

x = 12 so the # of girls = 12 * 3 = 36