the ratio of boys to girls is 7:8 How many boys are there in school if there are 968 girls?

My answer is 581 boys is this correct??

No.

Cross multiply and solve for b

7/8 = b/968

I cross multiplied but I used

7/15= b/968
I thought you had to add the ratios or would you only do that if you didn't know the total girls and only knew total students?

You follow your procedure if you know the total number of students. We only know the number of boys.

7/8×968/1=847

968/8=B/7

To find the number of boys in the school, we need to use the ratio of boys to girls and the given number of girls.

The given ratio is 7:8, which means that for every 7 boys, there are 8 girls.

To determine the number of boys, we can set up a proportion using the ratio:

Boys/ Girls = 7/8

Now, substituting the given number of girls (968) into the proportion, we can solve for the number of boys:

Boys/ 968 = 7/8

Cross-multiplying, we get:

8Boys = 7 * 968

Dividing both sides by 8 to isolate the number of boys, we find:

Boys = (7 * 968) / 8
Boys = 6,748 / 8
Boys = 843.5

Since we cannot have half a boy, we need to round the answer. If there were 843 boys, the ratio of boys to girls would be 843:968, which simplifies to approximately 7:8.
Thus, the correct answer is 843 boys.