document.write( "Question 1005943: At aunt mae's mart, ken bought 2 apples and 5 plums for $3.20. Kendra bought 4 apples and 9 plums for $6.00. Find the cost of (a) an apple an (b) a plum. \n" ); document.write( "
Algebra.Com's Answer #622086 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call their costs, a and p. Then we have \n" ); document.write( "2a + 5p = 320 (work in cents) \n" ); document.write( "4a + 9p = 600 \n" ); document.write( "Let's double the first one and subtract it from the first...we get \n" ); document.write( "4a + 9p = 600 \n" ); document.write( "-(4a + 10p = 640) \n" ); document.write( "--------------------- \n" ); document.write( "-p = -40 \n" ); document.write( "p = 40 cents per plum \n" ); document.write( "Substituting that into the first equation gives us \n" ); document.write( "2a + 5(40) = 320 \n" ); document.write( "2a + 200 = 320 \n" ); document.write( "2a = 120 \n" ); document.write( "a = 60 cents per apple \n" ); document.write( " |