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At a local preschool there is a ratio of 3 boys to every 4 girls. If there are 245 Total preschoolers enrolled how many are boys?

Respuesta :

Answer: 105

Step-by-step explanation:

Given : At a local preschool there is a ratio of 3 boys to every 4 girls.

Also,  there are 245 Total preschoolers enrolled.

Let the number of boys be 3x and the number of girls be 4x.

Then According to the question, we have

[tex]3x+4x=245\\\\\Rightarrow\ 7x=245\\\\\Rightarrow\ x=\dfrac{245}{7}=35[/tex]

Now, the number of boys enrolled = 3(35)=105

Hence, there are 105 boys.

If there are 245 total preschoolers, there will be 105 boys.

Fraction of boys = 3/7

Fraction of girls = 4/7

Total number of students = 245

The number of boys will be:

= 3/7 × 245.

= 105 boys

Therefore, there are 105 boys in the school.

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