document.write( "Question 951431: At the local grocery store, apples are $1.20 per pound and oranges are $1.80 per pound. If the grocer wants to offer a 1.55-pound bag of mixed fruit for $1.62 per pound, how many pounds of apples must he use? \n" ); document.write( "
Algebra.Com's Answer #581074 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! At the local grocery store, apples are $1.20 per pound and oranges are $1.80 per pound. \n" ); document.write( " If the grocer wants to offer a 1.55-pound bag of mixed fruit for $1.62 per pound, how many pounds of apples must he use? \n" ); document.write( ": \n" ); document.write( "Let a = pounds of apple required \n" ); document.write( "let r = pounds of oranges \n" ); document.write( ": \n" ); document.write( "a + r = 1.55 \n" ); document.write( "r = (1.55-a); use this form for substitution \n" ); document.write( ": \n" ); document.write( "1.20a + 1.80r = 1.62(1.55) \n" ); document.write( "replace r with (1.55-a) \n" ); document.write( "1.20a + 1.80(1.55-a) = 1.62(1.55) \n" ); document.write( "1.20a + 2.79 - 1.80a = 2.511 \n" ); document.write( "1.20a - 1.80a = 2.511 - 2.79 \n" ); document.write( "-.60a = -.279 \n" ); document.write( "a = -.279/-.60 \n" ); document.write( "a = +.465 lb of apples required \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "To check this find the amt of oranges: 1.55-.465 = 1.085 lb of organges \n" ); document.write( "1.2(.465 + 1.8(1.085) = 1.62(1.55) \n" ); document.write( ".558 + 1.953 = 2.511 \n" ); document.write( " |