SOLUTION: Suppose that Maria has 160 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 5 less than twice the number of pennies; the number of dimes she has i

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Suppose that Maria has 160 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 5 less than twice the number of pennies; the number of dimes she has i      Log On

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Question 500170: Suppose that Maria has 160 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 5 less than twice the number of pennies; the number of dimes she has is 21 less than three times the number of pennies. How many coins of each kind does she have?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
pennies x
nickels ( 2 x -5 )
dimes ( 3 x -21 )
x+2x-5+3x-21=160
6x-26=160
+26
6x=160+26
6x=186
/6
x=31
pennies = 31
nickels ==> 2x-5 =>2*31-5=57
Dimes==>3x-21==>3*31-21=72
CHECK
31+57+72=160