Final answer:
To determine the number of boys when the ratio is 6:5 and there are 20 girls, we set up a proportion.
By cross-multiplying and dividing, we find that there are 24 boys in the group.
Step-by-step explanation:
The question asks us to find out the number of boys in a group where the ratio of boys to girls is 6:5 and there are 20 girls.
To solve this, we can set up a proportion and solve for the number of boys.
Let's denote the number of boys as b. The ratio given is 6 boys to 5 girls, which can be written as:
6/5 = b/20
To find the value of b, we cross-multiply and then divide to isolate b:
6 * 20 = 5 * b
120 = 5 * b
b = 120 / 5
b = 24
Therefore, there are 24 boys if there are 20 girls.