document.write( "Question 1172780: A distribution centre sends three different types of parcels. One consignment has 6 small, 8
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document.write( "medium and 9 large parcels which cost $173.20 to post. Another consignment has 7 small, 13
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document.write( "medium and 17 large parcels with total postage $291.05. A large parcel costs twice as much to
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document.write( "post as a small one. Work out the total cost of posting 3 small parcels, 9 medium parcels and 2
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document.write( "large parcels.
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Algebra.Com's Answer #797903 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = cost for small parcel \n" ); document.write( "y = cost for medium parcel \n" ); document.write( "2x = cost for large parcel \n" ); document.write( "6 small, 8 medium, 9 large: \n" ); document.write( "6(x)+8(y)+9(2x) = 173.20 \n" ); document.write( "24x+8y = 173.20 (1) \n" ); document.write( "7 small, 13 medium, 17 large: \n" ); document.write( "7(x)+13(y)+17(2x) = 291.05 \n" ); document.write( "41x+13y = 291.05 (2) \n" ); document.write( "Simplify (1) to 3x+y = 21.65 (3) \n" ); document.write( "Multiply by 13: 39x+13y = 281.45 (4) \n" ); document.write( "Compare (2) and (4): 2x = 9.60 --> x = 4.80 \n" ); document.write( "Plug x = 4.80 into any earlier equation to find y = 7.25 \n" ); document.write( "ANSWER: \n" ); document.write( "3(x)+9(y)+2(2x) = 7x+9y = 7(4.80)+9(7.25) = 98.85 \n" ); document.write( " \n" ); document.write( " |