document.write( "Question 1153170: When the charity collected all of its tin cans from convenient stores, they contained 80% more pennies than nickels. If the combined value of the pennies and nickels was $22.10, how many nickels did the tin cans contain? \n" ); document.write( "
Algebra.Com's Answer #775337 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Solving the problem mentally, with the \"80% more pennies than nickels\" I would say for every 5 nickels there are 9 pennies.

\n" ); document.write( "Then each group of 5 nickels and 9 pennies has a value of 34 cents.

\n" ); document.write( "The total $22.10, divided by 34 cents, gives 65 groups.

\n" ); document.write( "Finally, since each group contains 5 nickels, the number of nickels is 65*5 = 325.

\n" ); document.write( "Formally....

\n" ); document.write( "Let x = number of nickels
\n" ); document.write( "Then 1.8x = number of pennies

\n" ); document.write( "The total value of the nickels at 5 cents each and the pennies at 1 cent each is $22.10, or 2210 cents:

\n" ); document.write( "\"5%28x%29%2B1%281.8x%29+=+2210\"
\n" ); document.write( "\"5x%2B1.8x+=+2210\"
\n" ); document.write( "\"6.8x+=+2210\"
\n" ); document.write( "\"x+=+2210%2F6.8+=+325\"

\n" ); document.write( "ANSWER: 325 nickels

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