[tex]\displaystyle\bf\\x+x+\frac{x}{2}+\frac{x}{4}+1=100\\\\x+x+\frac{x}{2}+\frac{x}{4}=100-1\\\\x+x+\frac{x}{2}+\frac{x}{4}=99\\\\\frac{4x}{4}+\frac{4x}{4}+\frac{2x}{4}+\frac{x}{4}=99\\\\\frac{4x+4x+2x+x}{4}=99\\\\\frac{11x}{4}=99\\\\11x=99\cdot4\\\\x=\frac{99\cdot4}{11}\\\\x=9\cdot4\\\\\boxed{\bf x=36~de~lei}[/tex]