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# The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1

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Math Expert
Joined: 02 Sep 2009
Posts: 52168
The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1  [#permalink]

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25 Dec 2017, 23:20
00:00

Difficulty:

25% (medium)

Question Stats:

83% (02:03) correct 17% (02:48) wrong based on 54 sessions

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The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1, pennies to nickels to dimes respectively. If there is $1.15 in the glass jar, how many dimes are in the jar? (penny =$0.01, nickel = $0.05, dime =$0.1)

A. 1
B. 5
C. 10
D. 18
E. 19

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Posts: 867
Re: The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1  [#permalink]

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26 Dec 2017, 00:53
Bunuel wrote:
The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1, pennies to nickels to dimes respectively. If there is $1.15 in the glass jar, how many dimes are in the jar? (penny =$0.01, nickel = $0.05, dime =$0.1)

A. 1
B. 5
C. 10
D. 18
E. 19

This question can be solved Precisely by calculating the value of 1 dime, 2 nickels and 3 pennies (=$0.25) and dividing 1.15/0.25 = 5 to find the number of dimes. We'll also show an Alternative approach using the answers. Since the answers are right in front of us, why not just try them out? Starting with the median - if there are 10 dimes then there are 20 nickels and 30 pennies for a total of$1 + $1 +$0.3. Too much!
(C) is eliminated as are the larger (D) and (E).
We'll try the next smallest - B. If there are 5 dimes, 10 nickels and 15 pennies we have $0.5 +$0.5 + $0.15 =$1.15.
Yes!
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The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1  [#permalink]

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26 Dec 2017, 01:31
1
Bunuel wrote:
The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1, pennies to nickels to dimes respectively. If there is $1.15 in the glass jar, how many dimes are in the jar? (penny =$0.01, nickel = $0.05, dime =$0.1)

A. 1
B. 5
C. 10
D. 18
E. 19

# of Pennies= 3A
# of Nickles= 2A
# of Dimes = 1A

$$0.01*3*A+ 0.05*2*A+ 0.1*1*A= 1.15$$, Therefore, $$A= 1.15/0.23= 5$$.

# of Dimes= 5. Hence B.
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Joined: 24 Nov 2016
Posts: 152
Re: The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1  [#permalink]

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26 Dec 2017, 17:11
Bunuel wrote:
The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1, pennies to nickels to dimes respectively. If there is $1.15 in the glass jar, how many dimes are in the jar? (penny =$0.01, nickel = $0.05, dime =$0.1)

A. 1
B. 5
C. 10
D. 18
E. 19

Total in the jar: 115 cents; Penny (p): 1 cent; Nickel (n): 5 cents; Dime (d): 10 cents

So, $$x = multiple$$ then, $$3px:2nx:1dx=115$$; $$3(1)x+2(5)x+1(10)x=115$$; $$23x=115$$; $$x=115/23=5$$.

The portion represented by Dimes is $$1(10)x=1(10)(5)=50$$ cents, divided by dimes is $$50/10=5$$ coins.

Re: The number of coins in a certain glass jar are in a ratio of 3 : 2 : 1 &nbs [#permalink] 26 Dec 2017, 17:11
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