On Monday, a certain animal shelter housed 70 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?  Choose the correct choice from the following:
A) 13	B) 15	C) 17	D) 19	E) 21
To maximize the number of pets adopted, we should maximize the number of dogs adopted since 1/4 &gt; 1/5.   The greatest multiple of 4 less than 70 is 60 (such that the remaining number is divisible by 5), so let's assume there were 60 dogs and 10 cats.   Then the maximum number of adopted pets is 1/4*(60) + 1/5*(10) = 15 + 2= 
<gadget id="calculator">15 + 2</gadget>
<output>17</output>
17.   The answer is 17.
<result>C</result>
On Monday, a certain animal shelter housed 70 cats and dogs. By Friday, 1/5 of the cats and 1/4 of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?