changhiskhan wrote:
Alice’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 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
dave13 wrote:
generis wrote:
dave13 wrote:
Hello
Bunuel - founder of numerology
hope you are well
my solution is quite unusual but is super duper quck
As per this sentence "
Alice 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'
So total amount she saved was 60 and total amount she didnt save was 20
So now question is "what fraction of her take-home pay did she save each month?"
so i divide 60 by 12 (number of months
) 60/12 = 5
hence \(\frac{1}{5}\) she saved each month. YAY
is my correct approach ?
thanks and have a good week
in case Bunuel doesn't reply I will tag you friends too
generis niks18 Hi
dave13 , whether your approach is correct depends on whether
you did some mental math and did not write down the steps.
How did you calculate \(\frac{1}{5}\)?
How did you go from 5 to \(\frac{1}{5}\)?
(You have everything in place. You picked good numbers.
How and whether you manipulated those numbers, I cannot discern.)
Greetings
generis i simply took number 60 because it is easy to work with (it can be divided by 2, 3, 4, 5, 6, 10 and 12) very practical number
so since her total amount saved for the whole year is 60 and we need to know how much she saved monthly i divided 60 by 12 = 5
i added 1 in numeror to match it to answer choice
i decorated my answer by adding a personal touch
optionally \(\frac{12}{60}\)= \(\frac{1}{5}\)
have a lovely jovely day
Your personal touch? OMG. What, did you try some
numerology, too?
I am SO hoping (and so NOT hoping) he sees that one.
You are ABSOLUTELY correct about the number 60 (and 120, BTW).
Now, let's finish this . . .You wrote:
Quote:
we need to know how much she saved monthly i divided 60 by 12 = 5
True. Good instincts.
We also need to know how much she EARNED monthly
Quote:
So total amount she saved was 60 andtotal [MONTHLY] amount she didnt save was 20
Saved $60 in one YEAR
$60 is three times $20, which is the amount she did NOT save EACH MONTH
Per month SAVED?
Per month NOT SAVED?This step is correct: $\(\frac{60}{12}\) = $5 per month SAVED
QUESTION asks
Quote:
what fraction of her take-home pay did she save each month?
1) Find
take home pay per month = (Dollars saved each month) + (Dollars NOT saved each month)
Take home pay per month (with the awesome numbers you picked) is:
$5 (saved) + $20 (not saved) =
$25 per month2) Now, what fraction of that monthly pay did she save?
• saved each month: $5
• earned each month: $25
\(\frac{SavedAmt}{MonthlyAmt}=\frac{Part}{Whole}=\frac{$5}{$25}=\frac{1}{5}\)
You were very close! It is a good thing to look for simple shortcuts.
Just make sure you read the question really carefully.
(This question's language is not easy. I would bet that if you had read carefully,
you would have found the answer.)
You chose good numbers. Does this make sense? Thanks for making me laugh.
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