A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?

Ok, so the discount is given in a percentage, in this case 10%.  The sale price is going to reflect 10% of the original price minus the discount, so...

Sale $ = original$ - original $ x .10

If we use some algebra, we can reorganize the equation to solve for the original price...

Sale $ = original$ - original $ x .10

Sale $ = original$ (1 - .10)

Sale $ = original$ x .90

original$ = sale$/.90

So now we can plug in our values

original price = 50/.90

original price = 55.55555 = $55.55 to the nearest nickel

she will most likely have 33  

step-by-step explanation: