out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first…

out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first math test. out of the twenty - eight total as, sixteen girls received as. out of the total fifty - four bs, thirty girls received bs. twelve boys received a c out of the twenty - four total cs on the test. which two - way table represents this information?

out of 106 total sophomores, there were forty - eight boys who received either an a, b, or c on their first math test. out of the twenty - eight total as, sixteen girls received as. out of the total fifty - four bs, thirty girls received bs. twelve boys received a c out of the twenty - four total cs on the test. which two - way table represents this information?

Answer

Explanation:

Step1: Calculate number of boys with A

Total A's are 28 and girls with A's are 16. So boys with A's are $28 - 16=12$.

Step2: Calculate number of boys with B

Total B's are 54 and girls with B's are 30. So boys with B's are $54 - 30 = 24$.

Step3: Calculate number of girls with C

Total C's are 24 and boys with C's are 12. So girls with C's are $24 - 12=12$.

Step4: Calculate number of girls

Total sophomores are 106 and boys are 48. So girls are $106 - 48 = 58$.

Step5: Check table values

We check which table has boys with A = 12, boys with B = 24, boys with C = 12, girls with A = 16, girls with B = 30, girls with C = 12, total A = 28, total B = 54, total C = 24, total boys = 48, total girls = 58 and total sophomores = 106.

Answer:

The second table (Boys: 12, 24, 12, 48; Girls: 16, 30, 12, 58; Total: 28, 54, 24, 106)