A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 12 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Select the correct option.
A) 64  B) 72  C) 80  D) 88  E) 96
The ratio is 4:5 = 8:10, so there are 8k males and 10k females.   If 12 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.   8k-5k = 12   k = 4   8k + 10k = 32 + 40= 
<gadget id="calculator">32 + 40</gadget>
<output>72</output>
72   The answer is 72.
<result>B</result>
A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 12 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?