Respuesta :
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
Answer:
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)