Ofelia has a certain amount of money. If she spends $12 , then she has 1/5 of the original amount left. How much money did Ofelia have originally?

Question

Ofelia has a certain amount of money. If she spends $12 , then she has 1/5 of the original amount left. How much money did Ofelia have originally?

Answer 1

Let x = the original amount of money that Ophelia had:

• she spends $12: x - $12
• then she has 1/5 of the original amount left: (1/5)x

 

x - 12 = (1/5)x

 

Multiply both sides of the equation by 5:

 

5x - 60 = x

 

Solve for x.