Respuesta :

Complete Question

We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys

Answer:

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Step-by-step explanation:

Let

The number of boys = x

The number of girls = y

We have 420 students

2 times 3 times the number of girls is equal to 2 times the number of boys

x + y = 420..... Equation 1

2 × 3y = 2x

6y => 2x

x => 6y/2 = 3y

We substitute 3y for x in Equation 1

3y + y = 420

4y = 420

y =>420/4

y => 105

Solving for x

x = 3y

x = 3 × 105

x = 315

Therefore,

The number of boys = x = 315 boys

The number of girls = y = 105 girls

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