Parking

At a building parking, 245 spaces are for cars, 56 are for vans, and the rest are for buses. If 14% of all parking spaces are for buses, how many parking spaces are there in the building? How many spaces are for buses?

Correct answer:

p =  350
b =  49

Step-by-step explanation:

$$\begin{gathered} q=14\%=\frac{14}{100}=\frac{7}{50}=0.14 \\ p=245+56+b \\ b=q\cdot p \\ p=245+56+q\cdot p \\ p=245+56+0.14\cdot p \\ 0.86p=301 \\ p=\frac{301}{0.86}=350 \\ p=350 \end{gathered}$$

$b=q\cdot p=0.14\cdot 350=49$

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