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
Where did the 1.947 come from?
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?
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
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
Nevermind I found out; basically the 1.947 is intuitive by countering out the S
I'm here to help you with your question! Let's go through it step by step and find the solution together.
Let's assume the number of SUVs is S. According to the information given, the number of ordinary cars is larger than the number of SUVs by 94.7% or 0.947 times the number of SUVs.
So, the number of ordinary cars can be expressed as S + 0.947S or 1.947S.
Now, we are also given that the difference between the number of cars and SUVs is 18. So, we can set up the equation:
1.947S - S = 18
Solving this equation will give us the number of SUVs.
1.947S - S = 18
0.947S = 18
S = 18 / 0.947
Using a calculator, we can find that S is approximately equal to 18.997 (rounded to three decimal places).
Since the number of SUVs should be a whole number, we can round it to the nearest whole number. So, the number of SUVs in the parking lot is 19.
Therefore, the answer to your question is that there are 19 SUVs in the parking lot.