SOLUTION: If 8 1/3% of a sum of money is $75, then the total sum of money is?

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Question 1185405: If 8 1/3% of a sum of money is $75, then the total sum of money is?
Found 3 solutions by ikleyn, Theo, MathTherapy:
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.

8 1/3% =  % =  =  = .



THEREFORE, your equation, from the problem's description, is


     = 75.


Solve it using basic Algebra.



Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
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.





Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If 8 1/3% of a sum of money is $75, then the total sum of money is?
Let amount of money be M

Then we get: 

    Amount of money, or  

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