When a number P is divided by 100, the result is 0.594 more than when P is divided by 1000. Find P.
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Worked Solution
Step 1: Write an equation using the given information.
Dividing by 100 gives a larger result than dividing by 1000, so:
P/100 - P/1000 = 0.594
Step 2: Express both fractions with a common denominator of 1000.
10P/1000 - P/1000 = 0.594
9P/1000 = 0.594
Step 3: Solve for P.
9P = 0.594 x 1000 = 594
P = 594 / 9 = 66
Verification: 66 / 100 = 0.66 and 66 / 1000 = 0.066. Difference = 0.66 - 0.066 = 0.594. Check.
Correct answer: 66
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