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A certain purse contains 30 coins, Each coin is either a nickel or a q
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09 Apr 2021, 05:14
09 Apr 2021, 05:14
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A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is $4.70, how many nickels does the purse contain?
A. 12
B. 14
C. 16
D. 20
E. 22
(Note: a nickel is worth $0.05, and a quarter is worth $0.25)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 12
B. 14
C. 16
D. 20
E. 22
(Note: a nickel is worth $0.05, and a quarter is worth $0.25)
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: A certain purse contains 30 coins, Each coin is either a nickel or a q
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09 Apr 2021, 08:17
09 Apr 2021, 08:17
Let the number of nickels be \(n\) and quarters be \(q\)
Given, \(n + q = 30\) and \(5n + 25q = 470\)
\(25n + 25q = 750\) ....... (1)
\(5n + 25q = 470\) ....... (2)
Subtracting (2) from (1);
\(20n = 280\)
\(n = 14\)
Hence, option B
Given, \(n + q = 30\) and \(5n + 25q = 470\)
\(25n + 25q = 750\) ....... (1)
\(5n + 25q = 470\) ....... (2)
Subtracting (2) from (1);
\(20n = 280\)
\(n = 14\)
Hence, option B
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Re: A certain purse contains 30 coins, Each coin is either a nickel or a q
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13 Apr 2021, 05:20
13 Apr 2021, 05:20
Carcass wrote:
A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is $4.70, how many nickels does the purse contain?
A. 12
B. 14
C. 16
D. 20
E. 22
(Note: a nickel is worth $0.05, and a quarter is worth $0.25)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 12
B. 14
C. 16
D. 20
E. 22
(Note: a nickel is worth $0.05, and a quarter is worth $0.25)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
ASIDE: Each nickel is worth 5 cents ($0.05) and each quarter is worth 25 cents ($0.25)
Let n = the number of nickels in the purse
This means (30-n) = the number of quarters in the purse (since there is a total of 30 COINS)
Since each nickel is worth 5 cents, we know that n nickels is worth 5n CENTS
Likewise, since each quarter is worth 25 cents, we know that (30-n) quarters is worth 25(30-n) CENTS
The total value of all coins in the purse is $ 4.70
We can also say that the TOTAL value is 470 CENTS
So, we can write: (value of all nickels) + (value of all quarters) = 470 CENTS
Or: 5n + 25(30-n) = 470
Expand: 5n + 750 - 25n = 470
Simplify: -20n + 750 = 470
Subtract 750 from both sides: -20n = -280
Solve: n = 14
Answer: B
Cheers,
Brent
