document.write( "Question 1013421: A lorry is loaded with two different types of boxes. If 150 of box A and 115
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document.write( "of box B are loaded onto the truck, its capacity of 10 tonnes is reached. If
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document.write( "300 of box A are loaded , then the truck can only take 30 of box B before
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document.write( "the capacity of 10 tonnes is reached. Find the weight of each box. \n" );
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Algebra.Com's Answer #629773 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "150A+115B=10 tonnes . Multiply this by 2. \n" ); document.write( "300A+230B=20 tonnes \n" ); document.write( ". \n" ); document.write( "300A+30B=10 tonnes , Subtract this from above \n" ); document.write( "_____________________ \n" ); document.write( "200B=10 tonnes \n" ); document.write( "B=10tonnes/200 \n" ); document.write( "B=1/20 tonne \n" ); document.write( ". \n" ); document.write( "150A+115B=10 tonnes \n" ); document.write( "150A+115(1/20 tonne)=10 tonnes \n" ); document.write( "150A+115/20 tonnes=10 tonnes \n" ); document.write( "150A=200/20 tonnes-115/20 tonnes \n" ); document.write( "150A=85/20 tonnes \n" ); document.write( "A=85/3000 tonnes \n" ); document.write( "A=17/600 tonnes \n" ); document.write( ". \n" ); document.write( "ANSWER: Box A weighs 17/600 tonne; Box B weighs 1/20 tonne \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "300A+30B=10 tonnes \n" ); document.write( "300(17/600)+30(1/20)=10 tonnes \n" ); document.write( "(17/2)+(3/2)=10 tonnes \n" ); document.write( "20/2 tonnes=10 tonnes \n" ); document.write( "10 tonnes=10 tonnes \n" ); document.write( ". \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |