On the first test the mean of the girls’ scores was 80 and the mean of the boy’s scores was 70. What was the class mean? (Remember the class mean is not just averaging the two means)

On the second test, the class mean was 80 and the mean girl’s scores was 75. What was the mean of the boy’s scores?

I WOULD LIKE THE ANSWER TO THE SECOND PART

The class mean depends on the ratio of girls to boys. You can easily see that if there are 5 times as many girls as boys, then the boys' scores affect the class mean less than the girls' scores.

To find the mean of the boy's scores on the second test, we need to determine the total score of the class and subtract the mean of the girl's scores from it.

Let's assume that the number of girls and boys in the class is the same. Since the mean of the girl's scores was 75, we can multiply this by the number of girls to find the total score of the girls.

Next, we subtract the total score of the girls from the class mean to find the total score of the boys. Finally, we divide the total score of the boys by the number of boys to find the mean of the boy's scores.

Here is the step-by-step process:

1. Find the total score of the girls:
- Multiply the mean of the girl's scores (75) by the number of girls.

2. Calculate the total score of the boys:
- Subtract the total score of the girls from the class mean (80).

3. Divide the total score of the boys by the number of boys to find the mean of the boy's scores.

Please provide the number of girls and boys in the class so I can give you the exact answer.