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23 Mar 2022, 06:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:33) correct
24%
(01:53)
wrong
based on 127
sessions
History
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Bill runs a hot dog stand, and at the end of the day he has collected an assortment of $1, $5, and $10 bills. He discovers that the number of $1, $5, and $10 bills that he has is in the ratio of 10 : 5 : 1, respectively. How many $10 bills does he have?
(1) The dollar value of his $1 bills equals the dollar value of his $10 bills.
(2) Bill has a total of $225.
(1) The dollar value of his $1 bills equals the dollar value of his $10 bills.
(2) Bill has a total of $225.
23 Mar 2022, 06:33
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Bill runs a hot dog stand, and at the end of the day he has collected an assortment of $1, $5, and $10 bills. He discovers that the number of $1, $5, and $10 bills that he has is in the ratio of 10 : 5 : 1, respectively. How many $10 bills does he have?
(1) The dollar value of his $1 bills equals the dollar value of his $10 bills.
(2) Bill has a total of $225.
Question
How many $10 bills does he have?
The answer has to be a unique value.
From Question Stem
Ratio of the number of $1 : $5 : $10 = 10 : 5 : 1
So, if he has 10k $1 bills, he will have 5k $5 bills, and k $10 bills.
So, the total value of all bills he has = 10k (1) + 5k(5) + k(10) = 10k + 25k + 10k = 45k
Statement 1
Repeats information available from question stem. If he has 10k $1 bills and k $10 bills, the dollar value of his $1 bills will equal the dollar value of his $10 bills.
We already know from the equation above that the dollar value of $1 bills is 10k and that of $10 bills is also 10k. We have no new information.
So, statement 1 alone is not sufficient.
Eliminate answer options A and D
Statement 2
Bill has a total of $225.
From question stem, we know Bill has a total of 45k worth bills.
45k = 225
k = 5
Bill has k $10 bills. So, he has 5 $10 bills.
Statement 2 alone is sufficient.
Choice B is the answer
(1) The dollar value of his $1 bills equals the dollar value of his $10 bills.
(2) Bill has a total of $225.
Question
How many $10 bills does he have?
The answer has to be a unique value.
From Question Stem
Ratio of the number of $1 : $5 : $10 = 10 : 5 : 1
So, if he has 10k $1 bills, he will have 5k $5 bills, and k $10 bills.
So, the total value of all bills he has = 10k (1) + 5k(5) + k(10) = 10k + 25k + 10k = 45k
Statement 1
Repeats information available from question stem. If he has 10k $1 bills and k $10 bills, the dollar value of his $1 bills will equal the dollar value of his $10 bills.
We already know from the equation above that the dollar value of $1 bills is 10k and that of $10 bills is also 10k. We have no new information.
So, statement 1 alone is not sufficient.
Eliminate answer options A and D
Statement 2
Bill has a total of $225.
From question stem, we know Bill has a total of 45k worth bills.
45k = 225
k = 5
Bill has k $10 bills. So, he has 5 $10 bills.
Statement 2 alone is sufficient.
Choice B is the answer
28 Jul 2024, 11:49
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