Question

In a recent survey, 7 out of 9 students believed teachers did not give enough homework. If there are 324 students at Harmony, how many students actually think teachers do not assign enough homework?

a. 216
b. 238
c. 252
d. 280

Answer 1

After setting up a proportion based on the survey results (7 out of 9 students) and cross-multiplying, we find that 252 students at Harmony believe teachers do not assign enough homework.

Step-by-step explanation:

To find out how many students at Harmony believe teachers do not assign enough homework, we will use the proportional ratio derived from the survey results. According to the survey, 7 out of 9 students believed there was not enough homework. We can set up a proportion to solve for the number of students this corresponds to in a school of 324 students.

The steps are as follows:

1. First, express the ratio of students who believe there is not enough homework to total students from the survey as 7/9.
2. Next, set up a proportion where 7/9 equals x/324, where x represents the number of students at Harmony who feel the same way.
3. To solve for x, cross-multiply and divide: (7 * 324) / 9 = x.
4. After calculating, x = 252.

Therefore, 252 students at Harmony think teachers do not assign enough homework, which corresponds to option c. 252.