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Jason has a handful of dimes and quarters. There are a total of 22 coi

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Jason has a handful of dimes and quarters. There are a total of 22 coi [#permalink]

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New post 11 Apr 2017, 12:37
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68% (01:33) correct 32% (01:56) wrong based on 62 sessions

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Jason has a handful of dimes and quarters. There are a total of 22 coins. If the total value of the coins is $3.25, how many dimes does Jason have?

A. 7
B. 8
C. 11
D. 12
E. 15

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Re: Jason has a handful of dimes and quarters. There are a total of 22 coi [#permalink]

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New post 11 Apr 2017, 18:27
1
You could try process elimination for this
A 7 x 10 = 70, 325 - 70 = 255. 255 is not a multiple of 25 Wrong
B 8 x 10 = 80, 325 - 80 = 245. 245 is not a multiple of 25. Wrong
C 11 x 10 = 110, 325 - 110 = 215. 215 is not a multiple of 25. Wrong
D 12 x 10 = 120, 325 - 120 = 105. 105 is not a multiple of 25. Wrong
E 12 x 10 = 150, 325 - 150 = 125. 125 is a multiple of 25. Correct

Answer is E
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Re: Jason has a handful of dimes and quarters. There are a total of 22 coi [#permalink]

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New post 08 Sep 2017, 08:44
SajjadAhmad wrote:
Jason has a handful of dimes and quarters. There are a total of 22 coins. If the total value of the coins is $3.25, how many dimes does Jason have?

A. 7
B. 8
C. 11
D. 12
E. 15


First of all, what is a dime and quarter? Does this type of questions come in GMAT?
If it comes, how am i to solve this without knowing or will the question provide such information.
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Re: Jason has a handful of dimes and quarters. There are a total of 22 coi [#permalink]

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New post 08 Sep 2017, 08:46
2
souvonik2k wrote:
SajjadAhmad wrote:
Jason has a handful of dimes and quarters. There are a total of 22 coins. If the total value of the coins is $3.25, how many dimes does Jason have?

A. 7
B. 8
C. 11
D. 12
E. 15


First of all, what is a dime and quarter? Does this type of questions come in GMAT?
If it comes, how am i to solve this without knowing or will the question provide such information.


In general these conversions will be given in the actual exam
Just FYI, 1 dime is 10 cents and 1 quarter is 25 cents.

Hope that helps!
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Jason has a handful of dimes and quarters. There are a total of 22 coi [#permalink]

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New post 08 Sep 2017, 13:29
1
SajjadAhmad wrote:
Jason has a handful of dimes and quarters. There are a total of 22 coins. If the total value of the coins is $3.25, how many dimes does Jason have?

A. 7
B. 8
C. 11
D. 12
E. 15

A dime = $0.10 = 10 cents
A quarter = $0.25 = 25 cents

With coin problems, see diagram below, another method: set up two equations.

One equation is for quantity, in order to define one variable in terms of the other (add second column of table)

The second equation adds each coin's total value (add column four), summed to the amount given as the total value of all the coins

1) Equation 1 - Find number of quarters in terms of dimes (Q in terms of D)

D = number of dimes
Q = number of quarters
Total number of coins = 22

D + Q = 22
Q = 22 - D

2) Equation 2: (total value of dimes) + (total value of quarters) = total dollar amount value

.10D + .25Q = 3.25

.10(D) + .25(22 - D) = 3.25

10D + 25(22 - D) = 325

10D + 550 - 25D = 325

550 - 325 = 25D - 10D

225 = 15D

D = 15 -- Jason has 15 dimes

Answer E
Attachment:
cointable.png
cointable.png [ 17.93 KiB | Viewed 498 times ]


To check: if he has 15 dimes, and 22 coins total, then he has 7 quarters.
15 * .10 = $1.50
7 * .25 = $1.75
1.50 + 1.75 = $3.25 CORRECT
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Jason has a handful of dimes and quarters. There are a total of 22 coi   [#permalink] 08 Sep 2017, 13:29
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