Question

Mr. Carter has 16 homework papers and 14 exit tickets to return. Mrs. O’Neil has 64 homework papers and 60 exit tickets to return. For each teacher, find the ratio to represent the number of homework papers to the number of exit tickets they have to return. How do the ratios compare? Explain.

A) Mr. Carter's ratio: 8:7, Mrs. O'Neil's ratio: 32:30, The ratios are equal.
B) Mr. Carter's ratio: 8:7, Mrs. O'Neil's ratio: 64:60, The ratios are not equal.
C) Mr. Carter's ratio: 4:3, Mrs. O'Neil's ratio: 32:30, The ratios are equal.
D) Mr. Carter's ratio: 4:3, Mrs. O'Neil's ratio: 16:15, The ratios are not equal.

Answer 1

The correct ratio for Mr. Carter is 8:7, and for Mrs. O'Neil, it is 16:15 after simplifying. Therefore, their ratios are not equal.

Step-by-step explanation:

The question is about finding ratios of homework papers to exit tickets for two teachers and comparing those ratios. For Mr. Carter, who has 16 homework papers and 14 exit tickets, the ratio can be simplified by dividing both numbers by their greatest common divisor, which is 2. This results in the ratio of 8:7. For Mrs. O'Neil, the ratio starts as 64:60, and by simplifying this with the greatest common divisor, which is 4, we obtain the ratio 16:15. However, option A provided is incorrect because Mr. Carter's ratio is 8:7, but Mrs. O'Neil's ratio should be 16:15 after simplification, not 32:30. So the correct statement should be that Mr. Carter's ratio is 8:7, and Mrs. O'Neil's ratio is 16:15, and the ratios are not equal.