In a parking lot, the # of ordinary cars is larger than the # of sports utility vehicles. by 94.7%. The difference btwn the # of cars and the # of SUV's is 18. Find the # of SUV's.

Question

In a parking lot, the # of ordinary cars is larger than the # of sports utility vehicles. by 94.7%. The difference btwn the # of cars and the # of SUV's is 18. Find the # of SUV's. ~My thoughts and work: C= Cars # S= SUV # C-S= 18 (C/S)*100= 94.7% Can I replace the C with the equation since: C-S= 18 so C= S+18 thus.... [(S+18)/S] x 100= 94.7% However after this I get a negative S= -339 CAN SOMEONE PLEASE HELP ME??? I did work and I think that should be a good thing but I did work and nobody would help me on my last question... THANK YOU

Tom · Accepted Answer

Where did the 1.947 come from?

drwls · Answer

Your equation that deals with the C/S ratio is wrong. It should be C/S = 1.947, since (C-S)/S = 94.7% = 0.947 Combine that with C - S = 18 1.947 S - S = 18 0.947 S = 18 S = 19

~christina~ · Answer

Thank you so Much drwls! I couldn't figure out why it was negative but now I know what I did wrong.. Thanks again =D

Tom · Answer

Nevermind I found out; basically the 1.947 is intuitive by countering out the S

TJ · Answer

Where did the 1.947 come from. Can it be explained? How can you do C/S = 1.945? What are the values for C and S to make that true?