Question

In a project the number of girls and boys participated are in the ratio 12:7.if there are 40 more girls than boys.find the number of girls and boys


✅Quality answer needed ✅​

Answer 1

Given :

• In a project the number of girls and boys participated are in the ratio 12:7.

• There are 40 more girls than boys.

To find :

• The number of girls and boys =?

Step-by-step explanation :

It is Given that,

There are 40 more girls than boys.

Now,

Let, the number of girls be, 12n.

Then, the number of boys be, 7n.

According to the question,

➮ 12n = 7n + 40

➮ 12n - 7n = 40

➮ 5n = 40

➮ n = 40/5

➮ n = 8.

Therefore, We got the value of, n = 8.

Hence,

Number of girls, 12n = 12 × 8 = 96

Number of boys, 7n = 7 × 8 = 56