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555-605 (Medium)|   Algebra|      
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Bunuel
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A jar contains 640 U. S. coins, each with a face value of either 25 ce 18 Apr 2018, 12:27
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76% (01:42) correct 24% (02:33) wrong based on 122 sessions

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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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B
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A jar contains 640 U. S. coins, each with a face value of either 25 ce 18 Apr 2018, 12:30
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Answer is B
25 cents 200 coins 50$
10 cents 440 coins 44$
Total coins 640


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pushpitkc
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A jar contains 640 U. S. coins, each with a face value of either 25 ce 18 Apr 2018, 12:31
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Bunuel
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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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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A jar contains 640 U. S. coins, each with a face value of either 25 ce 18 Apr 2018, 16:43
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Bunuel
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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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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A jar contains 640 U. S. coins, each with a face value of either 25 ce 18 Mar 2021, 15:17
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