Question

Mr. Rowley has 16 homework papers and 14 exit tickets to return. Ms. Rivera has 64 homework papers and 60 exit tickets they have to return. For each teacher write a ratio to represent the number of homework papers to number to number of exit tickets they have to return. Are the ratios equivalent? Explain

Answer 1

16:64 (Rowley to Rivera homework ratio)
14:60 (Rowley to Rivera exit ratio)

The ratios aren't equivalent because when they are simplified, the first ratio is 1:4, and the second is 7:30, thus meaning they aren't equal.

Answer 2

Answer:

The two ratios are NOT equivalent.

Step-by-step explanation:

Consider the provided information.

Two ratios are said to be equivalent if their numerator and denominator is same after simplifying.

Mr. Rowley has 16 homework papers and 14 exit tickets to return.

The number of homework papers Mr. Rowley has is 16.

The number of exit tickets Mr. Rowley has is 14.

The ratio of number of homework papers to number of exit tickets of Mr. Rowley is:

$16:14\Rightarrow \frac{8\times2}{7\times2}\Rightarrow \frac{8}{7}$

The number of homework packs Ms. Rivera has is 64.

The number of exit tickets of Ms. Rivera has is 60.

The ratio of number of homework papers to number of exit tickets of Mr. Rivera is:

$34:60\Rightarrow \frac{16\times4}{15\times4}\Rightarrow \frac{16}{15}$

Here, both the ratio have different numerator and denominator. Thus, the two ratios are NOT equivalent.