At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there? Choose the correct choice from the following options:
A) 20
B) 27
C) 48
D) 60
E) 87
First, I only focus on Tajima's. Let x be hybrid Tajima's and y be non hybrid Tajima's. We know that x + y = 205 and we know that y=3x-35, Therefore we can conclude that x= 60 and y= 145   Next, let a be the number of non hybrid franks, we know the ratio, 60/a = 5/4, therefore a=48   Total number of franks is 75, so  75 - 48= 
<gadget id="calculator"> 75 - 48</gadget>
<output>27</output>
27   Took me 47 sec   ANSWER:48
<result>C</result>
At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?