Question

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?

Explanation:

Step1: Calculate number of boys with A

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

Step2: Calculate number of girls with C

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

Step3: Calculate number of boys with B

Total boys are 48, boys with A are 12 and boys with C are 12. So boys with B's = 48-(12 + 12)=24.

Step4: Calculate number of girls with B

Total B's are 54, girls with B's are 30.

Step5: Calculate number of girls

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

Step6: Check totals

Total A's: 12 (boys)+16 (girls)=28. Total B's: 24 (boys)+30 (girls)=54. Total C's: 12 (boys)+12 (girls)=24. Total students: 48 (boys)+58 (girls)=106.

Answer:

The second two - way table represents the information. It 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's = 28, total B's = 54, total C's = 24, total boys = 48, total girls = 58 and total students = 106.