chloecube wrote:Hi

need help on this

there are 2617 vehicle in a carpark

the number of lorries was 353 less than the number of vans but 562 more than the total number of cars and motocycles. the motorcycles and cars have 1150 wheels altogether.

how many cars are there in the carpark?

tricky part is the wheel...

anyone can help? thks

**Sorry, I initially made a mistake by mis-typing one number. Now corrected with strikeout below. The answer is C = 195.**

We have four pieces of information:

(1) L + V + C + M = 2617

(2) L + 353 = V

(3) L - 562 = C + M

(4) 4C + 2M = 1150

Plug (2) and (3) into (1) to get:

L + (L + 353) + (L - 562) = 3L - 209 = 2̶1̶6̶7̶

**2617**

⇒ 3L = 2826

⇒ L = 942

Plug L = 792 into (3) to get 380 = C + M.

Rewrite (4) as 2C + 2 × (C + M) = 1150.

Now plug in 230 = C + M into (4) to get 2C + 760 = 390.

⇒ 2C = 390

⇒ C = 195.

Hope this helps and feel free to ask for any clarifications.

- Dr. Choo Yan Min

www.EconsPhDTutor.com

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