counting up to 100

Question

I have one question if someone could help me how to calculate it: If I have some amount of money (Euros). What the amount I have if I need to have the amount once doubled plus a half of the amount plus a quarter of the amount plus 1 to have 100 Euros?

Answer 1

Suppose we have some amount of money, we call this $x$. Then, based on you question, we want $$x+x+\frac{x}2+\frac{x}{4}+1=100.$$ Simplifying yields $$\frac{11x}{4}=99.$$ Then $$x=\frac{99\cdot 4}{11}=36.$$