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Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27
12 Sep 2013, 01:57
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bmwhype2
Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27
(A) 32
(B) 30
(C) 29
(D) 28
(E) 27
Given that:
5x+10y=460 --> 10y=460-5x;
x>y --> 10x>10y.
10x>460-5x --> 15x>460 --> x>30.something --> x=32.
Answer: A.
General Discussion
28 May 2007, 22:51
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5x + 10y = 460
x > y
Pick an easy number to work with.
suppose x=30.
Then you have 150.
You need another 310 and that means you need y=31 which is greater than x.
Therefore, x > 30.
The only answer choice where x > 30 is if x = 32.
A is the answer.
x > y
Pick an easy number to work with.
suppose x=30.
Then you have 150.
You need another 310 and that means you need y=31 which is greater than x.
Therefore, x > 30.
The only answer choice where x > 30 is if x = 32.
A is the answer.
iron logic 
if so then 31*10 = 310 +160 =470 WTM 
whats the matter 
