SOLUTION: Kendra has at least one quarter, one dime, one nickel, and one penny. If she has three times as many pennies as nickels, the same number of nickels as dimes, and twice as many dime

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Question 847406: Kendra has at least one quarter, one dime, one nickel, and one penny. If she has three times as many pennies as nickels, the same number of nickels as dimes, and twice as many dimes as quarters, then what is the least amount of money she could have? A. $0.41 B. $0.48 C. $0.58 D. $0.61 E. $0.71 *show work*
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+p+=+3n+
+n+=+d+
+d+=+2q+
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If she has only 1 nickel,
she has 3 pennies
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If she has 3 pennies,
she has 3 dimes
-------------------
But she can't have 3 dimes,
since +2q+ is always even
-----------------------------------
If she has 2 nickels,
she has 6 pennies
-------------------------
She has 2 dimes
and 1 quarter
-----------------
+2%2A5+%2B+6%2A1+%2B+2%2A10+%2B+1%2A25+
+10+%2B+6+%2B+20+%2B+25+
(D) +61+ cents