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Katie has a collection of nickels, dimes and quarters with a total value of $3.95. There are 4 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?

 Aug 29, 2020
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Katie has a collection of nickels, dimes and quarters with a total value of $3.95. There are 4 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?

 

Hello Katie!

 

\(5n+10d+25q=395\\ d=n+4\\ n+3=q\\ \)

\(5n+10(n+4)+25(n+3)=395\\ 5n+10n+40+25n+75=395\\ 40n=280\)

\(n=7\\ q=10\\ d=11\)

 

\(Hi \ Katie,\ you\ have\ seven\ nickels, ten\ quarters\ and\ eleven\ dimes.\)

laugh  !

 Aug 30, 2020

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