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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 ?