Retirement

To purchase a gift for a retiring coworker, everyone had to pay EUR 15. Because four workers were ill on the day coworkers collected the money, everyone present had to pay additional 1 euro except the retiring one. How many workers did the workshop have, and how much did the gift cost?

Correct answer:

n =  65
d =  975 Eur

Step-by-step explanation:

$$\begin{gathered} 15\cdot x=(15+1)\cdot (x-4) \\ x=64 \\ x=\frac{64}{1}=64 \\ x=64 \\ n=x+1=64+1=65 \end{gathered}$$

$d=15\cdot n=15\cdot 65=975\text{Eur}$

Try another example