Write a real-world problem that can be modeled by the equation 1.25x=0.75+50

Well,

1.25x = 0.75 + 50
1.25x = 50.75

"1.25 times Bobby's age equals 50.75.  What is Bobby's age?"

"Naomi is an annoying employee.  She always gives you values in the form of open sentences which you have to solve.  Today you ask her how much a frying pan should cost so that you can put a price on it.  She says that 1.25 times the correct price equals the sum of three-fourths and 50.  The problem is that you don't know if she's lying, because the next day she gives you the exact same equation for the cost of an apple."