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Difficulty:
95%
(hard)
Question Stats:
29% (02:12) correct
71%
(02:00)
wrong
based on 55
sessions
History
Date
Time
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Not Attempted Yet
Out of a jar that is filled with quarters, nickels and dimes, k coins are randomly chosen. The total value of these coins is 45 cents. What is he value of k?
(1) half of the k coins are nickels
(2) half of the k coins are dimes
(1) half of the k coins are nickels
(2) half of the k coins are dimes
09 Dec 2017, 03:44
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ich
Let the number be q, n and d.
So \(25q+5n+10d=45\)
Let's see the statements
I. Half the coins are nickels.
So \(n=q+d\)..
\(25q+5q+5d+10d=45.................30q+15d=45\)..
Two cases possible..
1) \(q=d=1\)..so \(n=2....25+10+2*5=45\)
2) \(q=0, d=3.\).so \(n=3....10*3+5*3=45\)
Insuff
II. Half the coins are dimes.
\(d=q+n\)....
\(25q+10q+10n+5n=45........\\
35q+15n=45..\)
q has to be 0 as then we will not get n as integer value.
So \(15n=45...n=3\)
So d=3
K=3+3=6
Suff
B
If it is from OG, it would already be discussed.
14 Dec 2017, 02:50
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Is it legal to assume that the value of q might be equal to 0 as the wording of the prompt “out of a jar that is filled with quarters, dimes and nickels” indicates that there must be at least 1 coin of each type?
Posted from my mobile device
Posted from my mobile device
