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Hi
This is a tricky one...

1.Alices 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 3 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?

a.1/2
b.1/3
c.1/4
d.1/5
e.1/6

Is there a shortcut to doing this one? I figured a slightly longish way

I got it all wrong.
1. 3/4 (its not in the answer choices)
2. 2047 (I dont believe it has any factors. Am I missing something? I could not factor it any less. And no answer choice divides this figure)
Any help is greatly appreciated.

1.Alices 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 3 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?

a.1/2 b.1/3 c.1/4 d.1/5 e.1/6

Is there a shortcut to doing this one? I figured a slightly longish way

2.What is the greatest prime factor of 4^17-4^28

a.2 b.3 c.5 d.7 e.11

Thanks

1) i misread the q's
x=pay each month
y=save each month
x-y=amount she didnt save

12y=3(x-y)

y=1/5x

2) i simplified it to 2^34 *(-1)(2^22-1)=4194304-1=4194303