document.write( "Question 387215: Tyrel and dalia bought some pens and pencils. Tyrel bought 4 pens and 5 pencils which cost her $6.71... Dalia bought 5 pens and 3 pencils which cost her $7.12.... let a equal the cost of one pen and let b eual the cost of one pencil \n" ); document.write( "
Algebra.Com's Answer #273686 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tyrel and dalia bought some pens and pencils. \n" ); document.write( "Tyrel bought 4 pens and 5 pencils which cost her $6.71... \n" ); document.write( "Dalia bought 5 pens and 3 pencils which cost her $7.12.... \n" ); document.write( "let a equal the cost of one pen and let b equal the cost of one pencil \n" ); document.write( "------------- \n" ); document.write( "Equations: \n" ); document.write( "4a + 5b = 671 cents \n" ); document.write( "5a + 3b = 712 cents \n" ); document.write( "----- \n" ); document.write( "Multiply 1st by 5 \n" ); document.write( "Multiply 2nd by 4 \n" ); document.write( "------ \n" ); document.write( "20a + 25b = 5*671 \n" ); document.write( "20a + 12b = 4*712 \n" ); document.write( "------ \n" ); document.write( "Subtract 2nd from 1st and solve for \"b\": \n" ); document.write( "13b = 507 \n" ); document.write( "b = 39 cents (price of one pencil) \n" ); document.write( "--- \n" ); document.write( "Substitute into 4a+5b = 671 to solve for \"a\": \n" ); document.write( "4a + 5*39 = 671 \n" ); document.write( "4a = 476 \n" ); document.write( "a = 119 cents (price of one pen) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |