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There are 12 more cars than trucks in a parking garage. The ratio of trucks to cars is 3 : 5. How many trucks and how many cars are in the parking garage?

 Apr 28, 2020
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We could solve this with some unknowns.

 

Let's say C is the # of cars, and T is the # of trucks.

We know that C = 12 + T, and T : C = 3 : 5.

 

As T / C = 3 / 5, we can cross multiply to get that 5T = 3C.

 

So, C = 12 + T, and 5T = 3C. I hope you can solve this on your own now!

In case you want to check, here's the solution.

 

Substitute (12 + T) into 5T = 3C

5T = 3(12 + T)

 

Distribute to get:
 

5T = 36 + 3T

Isolate the variable: 5T - 3T = 36

2T = 36

Divide by 2, and te number of trucks is 18.

The number of cars is 12 + 18, which is 30.

 

:)

 Apr 28, 2020

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