document.write( "Question 400267: I am so confused...Please help me how to figure out setting up the following equation to solve:\r
\n" ); document.write( "\n" ); document.write( "The cash drawer of the market contains $227 in bills. There are six more $5 bills than $10 bills. The number of $1 bills is two more than 24 times the number of $10 bills. How many bills of each kind are there?\r
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Algebra.Com's Answer #283422 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The cash drawer of the market contains $227 in bills.
\n" ); document.write( " There are six more $5 bills than $10 bills.
\n" ); document.write( " The number of $1 bills is two more than 24 times the number of $10 bills.
\n" ); document.write( " How many bills of each kind are there?
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\n" ); document.write( "From the information we assume their are 1, 5, and 10 bills (no 20's)
\n" ); document.write( "let c = no. of $1 bills
\n" ); document.write( "let f = no. of $5
\n" ); document.write( "let t = no. of $10
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"The cash drawer of the market contains $227 in bills.\"
\n" ); document.write( "1c + 5f + 10t = 227
\n" ); document.write( ":
\n" ); document.write( "\"There are six more $5 bills than $10 bills.\"
\n" ); document.write( "f = t+6
\n" ); document.write( ":
\n" ); document.write( "\"The number of $1 bills is two more than 24 times the number of $10 bills.\"
\n" ); document.write( "c = 24t + 2
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation, substitute (t+6) for f, and (24t+2) for c
\n" ); document.write( "1(24t+2) + 5(t+6) + 10t = 227
\n" ); document.write( "24t + 2 + 5t + 30 + 10t = 227
\n" ); document.write( "combine like terms
\n" ); document.write( "24t + 5t + 10t + 2 + 30 = 227
\n" ); document.write( "39t + 32 = 227
\n" ); document.write( "39t = 227 - 32
\n" ); document.write( "39t = 195
\n" ); document.write( "t = \"195%2F39\"
\n" ); document.write( "t = 5 ten dollar bills
\n" ); document.write( ":
\n" ); document.write( "Find the ones and fives
\n" ); document.write( "c = 24t + 2
\n" ); document.write( "c = 24(5) + 2
\n" ); document.write( "c = 120 + 2
\n" ); document.write( "c = 122 one dollar bills
\n" ); document.write( ":
\n" ); document.write( "f = t + 6
\n" ); document.write( "f = 5 + 6
\n" ); document.write( "f = 11 five dollar bills
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\n" ); document.write( "See if this is true:
\n" ); document.write( "1(122) + 5(11) + 10(5) =
\n" ); document.write( "122 + 55 + 50 = 227, confirm our solutions
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\n" ); document.write( "Did his unconfuse you somewhat?\r
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