document.write( "Question 1028967: Chiaki is organizing a candy hunt for the children in her neighbourhood. She spent $102 to buy 500 large candies and 400 small candies. The ration of the price of a large candy to the price of a small candy is 7:4. Find the prices of one large and one small candy \n" ); document.write( "
Algebra.Com's Answer #644067 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 4 x -7 y = 0 .............1 \n" ); document.write( "Total value \n" ); document.write( "500 x + 400 y = 10200 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 400 \n" ); document.write( "Multiply (2) by 7 \n" ); document.write( "1600 x -2800 y = 0 \n" ); document.write( "3500 x + 2800 y = 71400 \n" ); document.write( "Add the two equations \n" ); document.write( "5100 x = 71400 \n" ); document.write( "/ 5100 \n" ); document.write( "x = 14 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "4 x -7 y = 0 \n" ); document.write( "56 -7 y = 0 \n" ); document.write( " -7 y = 0 -56 \n" ); document.write( " -7 y = -56 \n" ); document.write( " y = 8 \n" ); document.write( "x= 14 cost of large candies in cents \n" ); document.write( "y= 8 cost of small candies in cents \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |