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Updated on: 10 Jul 2019, 04:59
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55% (hard)

Question Stats:

59% (01:31) correct 41% (01:30) wrong based on 169 sessions

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Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have? (nickel = 5 cents, quarter = 25 cents) (A) 20 (B) 25 (C) 50 (D) 62 (E) 70 Source: Nova GMAT Difficulty Level: 700 _________________ Originally posted by Bunuel on 28 May 2017, 03:35. Last edited by SajjadAhmad on 10 Jul 2019, 04:59, edited 1 time in total. Added Source Current Student Joined: 18 Aug 2016 Posts: 592 Concentration: Strategy, Technology GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

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28 May 2017, 03:42
we know that the value of quarters should be higher than half ..by number crunching if we have 25 coins of each ( 25 cents making 6.25 $and 25 nickels making 1.25$ ) total is 7.50$hence total coins would be 50 option C Sent from my iPhone using GMAT Club Forum _________________ We must try to achieve the best within us Thanks Luckisnoexcuse Senior SC Moderator Joined: 22 May 2016 Posts: 3734 Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

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28 May 2017, 11:16
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have? (nickel = 5 cents, quarter = 25 cents) (A) 20 (B) 25 (C) 50 (D) 62 (E) 70 Number of nickels and quarters is equal, so Let C = 1/2 of total number of coins (Equal #s of coins times different values of coins, then summed, given a total of$7.50, will yield # of coins)

.05C + .25C = 7.50 ==>

5C + 25C = 750

30 C = 750, and

C = 25

TOTAL coins? C = 1/2 of total, so 2C = 50 coins total
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Re: Cathy has equal numbers of nickels and quarters worth a total of $7.50 [#permalink] ### Show Tags 28 May 2017, 11:41 Bunuel wrote: Cathy has equal numbers of nickels and quarters worth a total of$7.50. How many coins does she have?
(nickel = 5 cents, quarter = 25 cents)

(A) 20
(B) 25
(C) 50
(D) 62
(E) 70

$$\frac{5}{100}*n + \frac{25}{100}n = 7.50$$

Or, $$30n = 750$$

Or, n = 25

So, Total number of coins with Cathy is 25*2 = 50 coins...

Thus, answer must be (C) 50
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09 Dec 2017, 08:33
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Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have? (nickel = 5 cents, quarter = 25 cents) (A) 20 (B) 25 (C) 50 (D) 62 (E) 70 Another approach is the test the answer choices. When doing so, it's best to start with the middlemost answer choice. C) 50 If there are 50 coins in total, and half are nickels and half are quarters, then we have 25 nickels and 25 quarters. 25 nickels is worth$1.25 (since 25 x $0.05 =$1.25)
25 quarters is worth $6.25 (since 25 x$0.65 = $6.25) TOTAL value = #1.25 +$6.25 = $7.50 (PERFECT!)\ Answer: C RELATED VIDEO _________________ Test confidently with gmatprepnow.com Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 9092 Location: United States (CA) Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50  [#permalink]

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03 Oct 2019, 12:25
Bunuel wrote:
Cathy has equal numbers of nickels and quarters worth a total of $7.50. How many coins does she have? (nickel = 5 cents, quarter = 25 cents) (A) 20 (B) 25 (C) 50 (D) 62 (E) 70 Source: Nova GMAT Difficulty Level: 700 We can create the equation: 0.05n + 0.25n = 7.5 5n + 25n = 750 30n = 750 n = 25 So, she has a total of 25 + 25 = 50 coins. Answer: C _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 181 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Cathy has equal numbers of nickels and quarters worth a total of$7.50   [#permalink] 03 Oct 2019, 12:25
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# Cathy has equal numbers of nickels and quarters worth a total of \$7.50

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