The summary of a survey of 500 students listed the following totals:
* 259 students did math homework
* 219 students did English homework
* 238 students did science homework
* 108 students did English and science homework
* 81 students did science and math homework
* 85 students did math and English homework
* 40 students did no homework
How many students did math, science, and English homework?
To find the number of students who did math, science, and English homework, we need to subtract the number of students who did not do any homework from the total number of students.
Total number of students = 500
Number of students who did no homework = 40
Number of students who did math, science, and English homework = Total number of students - Number of students who did no homework
Number of students who did math, science, and English homework = 500 - 40 = 460
Therefore, 460 students did math, science, and English homework.
To determine the number of students who did math, science, and English homework, we need to find the intersection of all three categories.
Let's solve the problem step-by-step:
Step 1: Start with the total number of students: 500.
Step 2: Subtract the number of students who did no homework: 500 - 40 = 460.
Step 3: Add the number of students who did math homework: 460 + 259 = 719.
Step 4: Subtract the number of students who did only math homework: 719 - 259 = 460.
Step 5: Add the number of students who did English homework: 460 + 219 = 679.
Step 6: Subtract the number of students who did only English homework: 679 - 219 = 460.
Step 7: Add the number of students who did science homework: 460 + 238 = 698.
Step 8: Subtract the number of students who did only science homework: 698 - 238 = 460.
Therefore, 460 students did math, science, and English homework.