document.write( "Question 161243: sandy has $3.75 in change. she has three more quarters than dimes but twice as many nickles as quarters. express the given information as an algebraic expression and simplify. \n" ); document.write( "
Algebra.Com's Answer #118881 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Sandy has $3.75 in change. She has three more quarters than dimes, but twice as \n" ); document.write( " many nickels as quarters. Express the given information as an algebraic \n" ); document.write( "expression and simplify. \n" ); document.write( ": \n" ); document.write( "\"Sandy has $3.75 in change.\" \n" ); document.write( ".05n + .10d + .25q = 3.75 \n" ); document.write( "; \n" ); document.write( "\"She has three more quarters than dimes,\" \n" ); document.write( "q = d + 3 \n" ); document.write( "or \n" ); document.write( "d = q - 3 \n" ); document.write( ": \n" ); document.write( "\" but twice as many nickels as quarters.\" \n" ); document.write( "n = 2q \n" ); document.write( ": \n" ); document.write( "Substitute for d and n in the 1st equation: \n" ); document.write( ".05(2q) + .10(q-3) + .25q = 3.75 \n" ); document.write( ".10q + .10q - .3 + .25q = 3.75 \n" ); document.write( ".45q = 3.75 + .30 \n" ); document.write( ".45q = 4.05 \n" ); document.write( "q = \n" ); document.write( "q = 9 quarters \n" ); document.write( ": \n" ); document.write( "I'll let you find n and d\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |