document.write( "Question 1195902: Mr White purchased some bottles of mineral water for his son. After a week, he
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document.write( "used 4/7 of the bottles leaving 6 bottles.
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document.write( "(i) Find the fraction of the bottles of mineral water that remain after a week.
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document.write( "(ii) How many bottles of mineral water did he purchased that week? \n" );
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Algebra.Com's Answer #828519 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "He uses 4/7 of the bottles, so he must have 3/7 of them left. \n" ); document.write( "x = number of bottles purchased\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3/7 of x = (3/7)x = 6 bottles left\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x. \n" ); document.write( "(3/7)x = 6 \n" ); document.write( "3x = 6*7 \n" ); document.write( "3x = 42 \n" ); document.write( "x = 42/3 \n" ); document.write( "x = 14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If he bought 14 bottles and has 6 left over, then he must have used 8 of them (14-6 = 8). \n" ); document.write( "Note how 8/14 = (2*4)/(2*7) = 4/7 represents the fraction of the bottles used up to confirm we have the correct x value. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answers: \n" ); document.write( "(i) 3/7 \n" ); document.write( "(ii) 14 \n" ); document.write( " \n" ); document.write( " |