document.write( "Question 1139009: Ariel ran an errand for her neighbor.
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document.write( "She went to the store and bought 24 pieces of fruit.
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document.write( "She purchased three times as many oranges as bananas.
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document.write( "On her way home, Ariel accidentally dropped twice as many oranges as bananas.
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document.write( "She still managed to deliver 15 pieces of fruit to her neighbor.
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document.write( "How many oranges were there? \n" );
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Algebra.Com's Answer #756797 by Theo(13342)![]() ![]() You can put this solution on YOUR website! an implicit assumption here seems to be that she only bought oranges and bananas and no other type fruit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "based on that assumption, this is what i get>\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let b = the number of bananas. \n" ); document.write( "let o = the number of oranges.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "o + b = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that the number of oranges bought is 3 times the number of bananas bought.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore, o = 3b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace o in the equation of o + b = 24 to get 3b + b = 24 which results in 4b = 24 which results in b = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since o = 3b, then o = 18.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she bought 18 oranges and 6 bananas.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "on her way home, she dropped twice as many oranges as bananas.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she still manage to deliver 15 pieces to her neighbor.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she started with 24 and wound up with 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 - o - b = 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since o = 2 * b, this equation becomes 24 - 3b = 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 3b to both sides of this equation and subtract 15 from both sides of this equation to get 25 - 15 = 3b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b to get b = 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since o = 2b, then you get o = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she dropped 3 bananas and 6 oranges.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she had 18 oranges and 6 bananas to start with.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "after she dropped 6 oranges and 3 bananas, she had 12 oranges and 3 bananas left fora total of 15 pieces of fruit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your question was how many oranges were there.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she bought 18 oranges. \n" ); document.write( "she delivered 12 oranges.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the question was how many oranges were there to start with, the answer is 18.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the question was how many oranges ere delivered, the answer is 12.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |