The ratio of boys to girls in a group is 5:3. If there are 10 more boys than girls, work out how many people there are in total.

If the ratio is 5:3 boys to girls and there are 10 more boys than girls, there would be 15 girls and 25 boys, for a total of 40 people.

Step-by-step explanation:

To solve the ratio, we need to set up a proportion and assign a variable to solve for. In this case, we can make 'x' the number of girls and 'x+10' the number of boys. We know that the ratio of boys to girls is 5 to 3, so we can set up a proportion where 5/3 = (x+10) / x. In order to solve a proportion, we would cross-multiply and divide in order to get a two-step equation to solve for the variable. When we cross-multiply, we get 5x=3 (x+10), or 5x=3x + 30. Using inverse operations, first subtracting the '3x' from both sides to get 2x=30, and then dividing both sides by 2 to get x=15. Remember, that 15 represents the number of girls. The number of boys is equal to 'x+10' or 15 + 10=25. Then the total number of people is 15+25=40.

40 students

Step-by-step explanation:

Lets multiply:

5:3 = 10:6 = 20:12 = 25:15

Since 25 is 10 more than 15, these are the actual numbers we need.

25 + 15 = 40 students.