# The ratio of boys and girls in a school is 12 : 5. If the total number of girls is 840. Find the total strength of the school.

**Given:**

The ratio of boys to girls in a school is 12 : 5.

The total number of girls is 840.

**To find:** Here we have to find the total strength of the school.

**Solution:**

The ratio of boys and girls in a school 12 : 5

Let the common factor be = $x$

So,

The total number of boys be = $12x$

And,

Total number of girls = $5x$

Also, given that number of girls is 840. So,

$5x$ = 840

$x$ = $\frac{840}{5}$

$x$ = 168

Now,

The total number of students in the school = Number of boys $+$ Number of girls

The total number of students in the school = $12x\ +\ 5x$

The total number of students in the school = $17x$

The total number of students in the school = $17\ \times\ 168$

**The total number of students in the school = 2856**

So, total strength of the school is 2856.

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