document.write( "Question 1190240: Timothy has a total of seventy-one coins. If he had 3 times the number of quarters and one-half the number of pennies, he would have $15.22 more. How much money does he have? \n" ); document.write( "

Algebra.Com's Answer #821851 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The setup is easy....

\n" ); document.write( "Let x = # of quarters
\n" ); document.write( "Then 71-x = # of pennies

\n" ); document.write( "Total value of the coins in cents: 25(x)+1(71-x) = 24x+71

\n" ); document.write( "Number of quarters if he had 3 times as many: 3x
\n" ); document.write( "Number of pennies if he had half as many: (1/2)(71-x)

\n" ); document.write( "Total value of the new numbers of coins: 25(3x)+1((1/2)(71-x))

\n" ); document.write( "The new total value is 1522 cents more than the original:

\n" ); document.write( " $\"25%283x%29%2B1%28%281%2F2%29%2871-x%29%29=24x%2B71%2B1522\"$

\n" ); document.write( "Unfortunately, solving that equation gives a non-integer value for x, which is impossible.

\n" ); document.write( "The problem is faulty as given. Correct the statement of the problem and re-post.

\n" ); document.write( "Or take the correct numbers in the problem and set up and solve the problem yourself using the method shown.

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