A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month? Choose the correct answer.
A) 1/7 B) 1/6 C) 1/5 D) 1/4 E) 1/3
Let x be the fraction of her take-home pay that the worker saved.   Let P be the monthly pay.   12xP = 2(1-x)P   12xP = 2P - 2xP   14xP = 2P   x = 1/7   The answer is 1/7.
<result>A</result>
A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?