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)\"\" \"About 
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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)
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\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
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