SOLUTION: The difference between 75% of a number and 20% of the same number is 378.4 What is 40% of that number? (1) 275.2 (2) 274 (3) 267.2 (4) 266 (5) None of these

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The difference between 75% of a number and 20% of the same number is 378.4 What is 40% of that number? (1) 275.2 (2) 274 (3) 267.2 (4) 266 (5) None of these       Log On


   



Question 293228: The difference between 75% of a number and 20% of the same number is 378.4 What is 40% of that number?
(1) 275.2 (2) 274 (3) 267.2 (4) 266 (5) None of these

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between 75% of a number and 20% of the same number is 378.4 What is 40% of that number?
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Let the number be "x".
Equation:
0.75x-0.20x = 378.4
0.55x = 378.4
x = 688
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Then 0.40*688 = 275.2
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Cheers,
Stan H.
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(1) 275.2 (2) 274 (3) 267.2 (4) 266 (5) None of these