# In January, a dealership sold 164 vehicles. February, the same dealership sold 23.8% fewer vehicles than they sold in January. How many vehicles were sold in February?

May 17, 2018

See a solution process below:

#### Explanation:

Let $f$ be the number of cars sold in February.

We can write the equation for the number of cars sold in February as:

f = 164 - (23.8% of 164)

"Percent" or "%" means "out of 100" or "per 100", Therefore 23.8% can be written as $\frac{23.8}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

We can now rewrite the equation and calculate $f$ as:

$f = 164 - \left(\frac{23.8}{100} \times 164\right)$

$f = 164 - \frac{3903.2}{100}$

$f = 164 - 39.032$

$f = 124.968$

The dealership sold 125 cars in February.