Respuesta :

Answer:

326 students

Step-by-step explanation:

[tex]124boys(\frac{9 girls}{11boys}) = 101 girls\\101 + 124 boys = 225 boys\\101 girls + 225 boys = 326 students total[/tex]

Answer:

1240 students

Step-by-step explanation:

A ratio in simplified form is another way of expressing a fraction. Use this knowledge to set up an equation and solve for the factor by which the ratio has been simplified.  Let parameter (x) represent the value by which the ratio has been simplified. Since it is given that there are (124) more boys than girls, one can use this to set up following the equation;

boys : girls = 11 : 9

11x = 9x + 124

Inverse operations,

11x = 9x + 124

-9x   -9x

2x = 124

/2   /2

x = 62

Now substitute this value back into the ratio, add up the two values to find out how many students are at the school,

11x + 9x

Substiute,

11(62) + 9(62)

Simplify,

682 + 558

1240

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