The ratio of boys to girls in a group is 4:1. If there are 33 more boys than girls, work out how many people there are in total.

Total number of people is 55

Step-by-step explanation:

Step 1:

Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x

⇒ 4x + x = x + 33 + x

⇒ 5x = 33 + 2x

⇒ 3x = 33

⇒ x = 11

Step 2:

Find total number of people.

33 + 2x = 33 + 22 = 55

There are 55 people altogether

Step-by-step explanation:

As the question says, there are 33 more boys than girls. So let's make girls = x as it is an unknown value:

boys = 33 + x

As we know that the ratio is 4:1 so, we can make it as:

4x : x

Given that the the ratio of boys is 4x and the value is 33+x. Now, we can compare it:

4x = 33 + x

4x - x = 33

3x = 33

x = 11

Next, we can add up all the people:

boys=>

4x = 4 * 11

= 44 boys

girls=>

x = 11 girls

altogether=>

44 + 11 = 55 people

(Correct me if I am wrong)