# Mr Robert teaches for 5 3/5 hours every day at a local college. He gets paid after he has taught for at least 84 hours. After how many days will he get paid?

Oct 24, 2016

Mr Roberts will get paid after completing $15$ days of work.

#### Explanation:

We shall represent the total number of days of work after which Mr Robert will be paid as $x$.

Since he works $5 \frac{3}{5}$ hour a day and must accumulate 84 hours of work before being paid, we can write an equation:

$x \times 5 \frac{3}{5} = 84$

Convert the mixed fraction into an improper fraction.

$x \times \frac{28}{5} = 84$

$\frac{28 x}{5} = 84$

Multiply both sides by $5$ and then divide both sides by $28$.

$28 x = 420$

$x = \frac{420}{28}$

$x = 15$