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All 20 spaces in my favorite parking lot are filled by vehicles. Some are occupied by two-wheeled motorcycles, and others by cars. Each space has only one vehicle occupying it. To calm myself, I counted wheels and there were exactly 66. How many motorcycles and how many cars are there?

Respuesta :

MathPhys

Answer:

There are 7 motorcycles and 13 cars.

Step-by-step explanation:

If M is the number of motorcycles, and C is the number of cars, then:

M + C = 20

2M + 4C = 66

Solve with elimination. Multiply the first equation by 4, then subtract the second equation.

4M + 4C = 80

2M = 14

M = 7

C = 13

There are 7 motorcycles and 13 cars.

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