document.write( "Question 119834This question is from textbook algebra 1 for christian schools
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document.write( ": 3. Lynn has $8.58 in quarters and pennies. If she has eight times as many pennies as quarters, how many of each does she have? \n" );
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Algebra.Com's Answer #87881 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Write a simple equation for each statement, c = no. of pennies; q = no. of quarters \n" ); document.write( ": \n" ); document.write( "\"Lynn has $8.58 in quarters and pennies.\" \n" ); document.write( ".01c + .25q = 8.58 \n" ); document.write( ": \n" ); document.write( "\"If she has eight times as many pennies as quarters,\" \n" ); document.write( " c = 8q \n" ); document.write( ": \n" ); document.write( "how many of each does she have? \n" ); document.write( ": \n" ); document.write( "Substitute 8q for c in the 1st equation, find q: \n" ); document.write( ".01(8q) + .25q = 8.58 \n" ); document.write( ".08q + .25q = 8.58 \n" ); document.write( ".33q = 8.58 \n" ); document.write( "q = 8.58/.33 \n" ); document.write( "q = 26 quarters \n" ); document.write( "then \n" ); document.write( "8 * 26 = 208 pennies \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( ".01(208) + .25(26) = \n" ); document.write( "2.08 + 6.50 = 8.58; confirms our solution \n" ); document.write( ": \n" ); document.write( "Did this make sense to you? could you do a similar problem by yourself now? \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |