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Jacob’s weekly take-home pay is n dollars [#permalink]
23 Jan 2016, 05:29
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Question Stats:
68% (00:37) correct
31% (00:13) wrong based on 22 sessions
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
Practice Questions Question: 16 Page: 461 Difficulty: medium
Re: Jacob’s weekly take-home pay is n dollars [#permalink]
23 Jan 2016, 06:03
Expert's post
Solution
Jacob’s weekly expenses are \(\frac{4n}{5}\) dollars. Therefore, the amount he saves each week is equal to his weekly take-home pay minus his weekly expenses, are
Re: Jacob’s weekly take-home pay is n dollars [#permalink]
14 Jul 2016, 14:24
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sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\) B \(\frac{2,500}{n}\) C \(\frac{n}{625}\) D \(\frac{n}{2,500}\) E \(625n\)
We can also use the INPUT-OUTPUT approach. Let's say n = 5 (Jacob takes $5 home each week) This means Jacob SPENDS $4 each week. So, he SAVES $1 each week
At this rate, how many weeks are needed to save $500? It will take 500 weeks.
So, when we INPUT n = 5, the OUTPUT (the answer to the question) is 500
Now check the answer choices to see which one yields an OUTPUT of 500 when we INPUT n = 5
A) 500/5 = 100 ELIMINATE B) 2500/5 = 500 KEEP C) 5/625 = less than 1 ELIMINATE D) 5/2500 = less than 1 ELIMINATE E) 625(5) = over 3000 ELIMINATE
Answer: B
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Re: Jacob’s weekly take-home pay is n dollars [#permalink]
19 Jul 2018, 11:40
2
This post received KUDOS
Expert's post
sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
We see that 1 - (4n/5) = n/5 is saved each week. Let’s let w = the number of weeks it will take to save 500 dollars and create the equation:
n/5 x w = 500
nw = 2500
w = 2500/n weeks.
Answer: B
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Re: Jacob’s weekly take-home pay is n dollars [#permalink]
19 Jul 2018, 12:24
1
This post received KUDOS
sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
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68% (00:37) correct
