Question

out of 100 total exptores, 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?

Explanation:

Step1: Calculate boys' A

Total A's = 28, girls' A's = 16. So boys' A's = 28 - 16 = 12.

Step2: Calculate boys' B

Total B's = 54, girls' B's = 30. So boys' B's = 54 - 30 = 24.

Step3: Check C values

Total C's = 24, boys' C's = 12, so girls' C's = 24 - 12 = 12. Boys' total = 12 (A) + 24 (B)+12 (C)=48. Girls' total = 16 (A)+30 (B)+12 (C)=52. Total = 48 + 52 = 100.

Answer:

The first two - way table (with Boys: A = 12, B = 24, C = 12; Girls: A = 16, B = 30, C = 12; Totals: A = 28, B = 54, C = 24, Overall Total = 100) is correct.