Question 1185405
let x = the money.


(8 and 1/3)% is equal to (25/3)%.


your equation is (25/3)% * x = 75


since (25/3)% is equal to (25/3)/100, then your equation becomes (25/3)/100 * x = 75.


multiply both sides of this equation by 100 to get (25/3) * x = 7500.


multiply both sides of this equa tion by (3/25) to get x = (3/25) * 7500 = 900.


since (25/3)/100 is equal to 25/300, you could also have done...


(25/3)/100 * x = 75 becomes 25/300 * x = 75.


multiply both sides of this equation by 300/25 to get:


x = 75 * 300/25 = 900.


x% is equal to x/100.


therefore (25/3)% is equal to (25/3)/100 which is equal to 25/300.


your solution is that the sum of money is equal to 900 dollars.


(8 + 1/3)% times 900 = (25/3)% * 900 = 25/300 * 900 = 75.