document.write( "Question 214299: Jessica found $52.25 in the parking lot. There was 3 times as many $1 bills as $5 bills, one-half as many quarters as $1 bills, and two more dimes than $1 bills. How many $5 bills did Jessica find?
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Algebra.Com's Answer #161921 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jessica found $52.25 in the parking lot. \n" ); document.write( "There was 3 times as many $1 bills as $5 bills, \n" ); document.write( " one-half as many quarters as $1 bills, \n" ); document.write( " and two more dimes than $1 bills. \n" ); document.write( " How many $5 bills did Jessica find? \n" ); document.write( ": \n" ); document.write( "Let c = no. of $1 bills \n" ); document.write( "Let f = no. of $5 bills \n" ); document.write( "Let d = no. of dimes \n" ); document.write( "Let q = no. of quarters \n" ); document.write( "; \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "Jessica found $52.25 in the parking lot. \n" ); document.write( "1c + 5f + .10d + .25q = 52.25 \n" ); document.write( "; \n" ); document.write( "There was 3 times as many $1 bills as $5 bills, \n" ); document.write( "c = 3f \n" ); document.write( "or \n" ); document.write( "f = \n" ); document.write( ": \n" ); document.write( " one-half as many quarters as $1 bills, \n" ); document.write( "q = .5c \n" ); document.write( ": \n" ); document.write( " two more dimes than $1 bills. \n" ); document.write( "d = c + 2 \n" ); document.write( ": \n" ); document.write( "Using the equation: 1c + 5f + .10d + .25q = 52.25 \n" ); document.write( "Substitute for f, d, and q, find c \n" ); document.write( "1c + 5( \n" ); document.write( ": \n" ); document.write( "1c + \n" ); document.write( "; \n" ); document.write( "1.225c + \n" ); document.write( ": \n" ); document.write( "1.225c + \n" ); document.write( ": \n" ); document.write( "Get rid of the denominator, multiply equation by 3, results: \n" ); document.write( "3(1.225)c + 5c = 3(52.05) \n" ); document.write( ": \n" ); document.write( "3.675c + 5c = 156.15 \n" ); document.write( ": \n" ); document.write( "8.675c = 156.15 \n" ); document.write( "c = \n" ); document.write( "c = 18 ea $1 bills \n" ); document.write( ": \n" ); document.write( "How many $5 bills did Jessica find? \n" ); document.write( "f = \n" ); document.write( "f = \n" ); document.write( "f = 6 ea $5 bills \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Ill let you check the solution in the original equation with substitution \n" ); document.write( " \n" ); document.write( " |