[tex]the \ amount \ of \money : x\\younger \ brother : 3x\\older \ brother: 5x\\\\3x+ 5x=750,000\\8x=750,000 \ \ | \ divide \ both \ sides\ by\ 8\\x= 93,750 \\\\ younger \ brother : 3x=3\cdot 93,750=281,250 \ pesos\\older \ brother: 5x=5\cdot 93,750=468,750\ pesos[/tex]