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A jar contains 640 U. S. coins, each with a face value of either 25 ce

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A jar contains 640 U. S. coins, each with a face value of either 25 ce  [#permalink]

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New post 18 Apr 2018, 12:27
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A jar contains 640 U. S. coins, each with a face value of either 25 cents or 10 cents. If the total face value of the coins is $94, how many 25-cent coins are in the jar?

(A) 120
(B) 200
(C) 280
(D) 360
(E) 440

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Re: A jar contains 640 U. S. coins, each with a face value of either 25 ce  [#permalink]

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New post 18 Apr 2018, 12:30
Answer is B
25 cents 200 coins 50$
10 cents 440 coins 44$
Total coins 640


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Re: A jar contains 640 U. S. coins, each with a face value of either 25 ce  [#permalink]

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New post 18 Apr 2018, 12:31
Bunuel wrote:
A jar contains 640 U. S. coins, each with a face value of either 25 cents or 10 cents. If the total face value of the coins is $94, how many 25-cent coins are in the jar?

(A) 120
(B) 200
(C) 280
(D) 360
(E) 440


Let the 25 cent coins be x.
Since the total coins are 640, the 10 cent coins will be 640 - x

\(25x + 10(640 - x) = 94*100\)
\(25x + 6400 - 10x = 9400\)
\(15x = 9400 - 6400 = 3000\) -> \(x = \frac{3000}{15} = 200\)

Therefore, there are 200(Option B) 25 cent coins in the jar.
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Re: A jar contains 640 U. S. coins, each with a face value of either 25 ce  [#permalink]

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New post 18 Apr 2018, 16:43
Bunuel wrote:
A jar contains 640 U. S. coins, each with a face value of either 25 cents or 10 cents. If the total face value of the coins is $94, how many 25-cent coins are in the jar?

(A) 120
(B) 200
(C) 280
(D) 360
(E) 440


We are asked to find out the number of 25-cent in the jar. Don't forget to assign variable for unknown. let the number of 25-cent coins be x. Now , Notice to the total number of coins. If 25-cent coins are x , rest of the coins are 10-cent.

So, Total number of 10-cent coins = 640-x

Now , we can form equation as total amount is given.

25x+ (640-x)10 = 94*100.................Note: we are dealing with cents. Thus converting cents to Dollar is essential.

25x+6400-10x =9400
15x=3000
x=200, which is option B.
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Re: A jar contains 640 U. S. coins, each with a face value of either 25 ce &nbs [#permalink] 18 Apr 2018, 16:43
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