Question

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Answer 1

Answer:

(1) 909, (2) 2323

Step-by-step explanation:

let the no of students be x

then no of boys = 14x

no of girls = 9x

total no of boys = 1414

so, 14x = 1414

x = 1414÷14 = 101

(1) then no of girls in the school= 9x = 9×101 = 909

(2) total no of students= no of boys + no of girls = 1414 + 909= 2323 students

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Answer 2

Answer:

number of girls in the school = 909

the total number of student in the school = 2323

Step-by-step explanation:

Girls ratio : 9

Boys ratio : 14

Total ratio : (9+14)= 23

number of boys = 1414

we need to find the total no of students

$number \: of \: boys \: = \frac{boys \: ratio}{total \: ratio} \: \times total \: no \: of \: students$

Let total no of students be y

number of boys= boys ratio / total ratio × y

substitute,

$1414 \: = \: \frac{14}{23} \: \times \: y \\ cross \: multiplication \\ 14y = 1414 \times 23 \\ y = \: \frac{1414 \times 23}{14} \\ y = \: 2323 \\ the \: total \: number \: of \: students \: = \: 2323$

To find the no of girls

$no \: of \: girls \: = \: \frac{girls \: ratio}{total \: ratio} \times \: total \: no \: of \: students \\ by \: substituting \: their \: values \\ no \: of \: girls \: = \frac{9}{23} \times \: 2323 \\ no \: of \: girls \: = \: 909$

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