Question

the ratio of boys and girls in a group is 7:5. some girls are added to the group to make
the ratio 7: 8. if the final strength of the group is 375, then determine the number of girls
added to the group?​

Answer 1

Answer:

Number of girls added to the group is 75.

Step-by-step explanation:

Since, from the question we get that the total number of girls after addition is given as 375.

Also, the given ratio of boys to girls is 7:8.

So, the total number boys in the group is = 375 * 7/15 = 175.

Therefore the total number girls present in the group will be 375-175= 200.

At first before the addition the ratio was 7:5. So, if we take x as the total number of students present before.

Hence, 7*x/12 = 175

So, on solving we will get x = 175*12/7 = 300.

Therefore the total girls present before = 300 -175 = 125.

Hence, the added number of girls = 200 - 125 = 75.