Employees in a company

A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles.

Calculate the total number of vehicles on a completely full parking lot, provided that there will be an equal number of cars and motorcycles on it.

Calculate by how many percent there will be fewer motorcycles than cars on the parking lot, provided that on a completely full parking lot there will be 48 fewer motorcycles than cars.

Final Answer:

a =  63
p =  64 %

Step-by-step explanation:

$$\begin{gathered} 84=a+\frac{a}{3} \\ 84=a+a/3 \\ 4a=252 \\ a=\frac{252}{4}=63 \\ a=63 \end{gathered}$$

$$\begin{gathered} 84=x+y/3 \\ y=x-48 \\ 84=x+\frac{x-48}{3} \\ 84=x+(x-48)/3 \\ 4x=300 \\ x=\frac{300}{4}=75 \\ x=75 \\ y=x-48=75-48=27 \\ p=100\cdot \frac{x-y}{x}=100\cdot \frac{75-27}{75}=64\% \end{gathered}$$

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