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.

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.

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.

step-by-step explanation :

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