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Having received his weekly allowance, John spent 3/5 of his allowance
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31 Mar 2021, 05:33
31 Mar 2021, 05:33
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Question Stats:
71% (01:49) correct
28% (02:03) wrong based on 45 sessions
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Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: Having received his weekly allowance, John spent 3/5 of his allowance
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31 Mar 2021, 05:46
31 Mar 2021, 05:46
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Carcass wrote:
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let w = John’s weekly allowance
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade
If John spent 3/5 of his allowance, then he has 2/5 REMAINING
So, (2/5)(w) = allowance REMAINING
The next day he spent one third of his remaining allowance at the toy store
If he spent 1/3, then he has 2/3 REMAINING
So, (2/3)(2/5)(w) = allowance REMAINING
Once all of this is done, John has $0.80 REMAINING
So (2/3)(2/5)(w) = 0.8
Simplify: (4/15)(w) = 0.8
Multiply both sides by 15 to get: 4w = 12
Divide both sides by 4 to get: w = 3
Answer: B
Cheers,
Brent
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Re: Having received his weekly allowance, John spent 3/5 of his allowance
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31 Mar 2021, 06:32
31 Mar 2021, 06:32
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Bookmarks
Carcass wrote:
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
Let his weekly allowance be \(x\)
1st day he spent = \(\frac{3x}{5}\)
Left over = \(x - \frac{3x}{5} = \frac{2x}{5}\)
2nd day he spent = \(\frac{1}{3}(\frac{2x}{5}) = \frac{2x}{15}\)
Left over = \(\frac{2x}{5} - \frac{2x}{15} = \frac{4x}{15}\)
Given, \(\frac{4x}{15} = 0.80\)
\(4x = 12\)
\(x = 3\)
Hence, option B
