Question

A certain company agreed to pay 80% of the health club membership fees for each of its employees. During a certain year, an employee belonged to a health club and paid an additional $468 for personal training. If the amount that the company paid for its part of the employee's health club membership fee is equal to the amount that the employee paid for her part of her health club membership fee plus her personal training, how much was the health club's membership for that year in $\$$?

Answer 1

Let the cost of membership be $x$.

$80\%$ of $x$ = $20\%$ of $x$ $+468$

$\Rightarrow \frac{80}{100}x=\frac{20}{100}x+468\Rightarrow \frac{60}{100}x=468$

Solve for $x$

$0.6x=468$

$x=780$