Everyone in a class of 30 students takes math and history. seven students received an a in history and 13 received an a in math, including four that received an a in both courses. how many students did not receive an a in any of these two courses?

14

Step-by-step explanation:

30 students total.

7 received an a in history.

13 received an a in math.

4 received an a in both courses.

how many students did not receive an a in either course.

20 total received an a in history or math.

of these, 4 received an a in history and math.

those 4 are being counted twice.

once in history and once in math.

you need to subtract 4 from the number who got an a in history or an a in math to get a total of 16 students who got an a in history or in math.

this leaves 30 - 16 = 14 students who did not get an a in either course.

here's the breakdown.

14 students did not get an a in either course.

3 students got an a in history only.

9 students got an a in math only.

4 students got an a in both history and math.

total is 30 students.

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step-by-step explanation: