document.write( "Question 1159835: The salt from a bin is to be packed into bags. If I put 10 g of salt into each bag, there will be 7 g short. If I put 9 g of salt into each bag, there will be 4 g extra. Find the mass of the salt in the bin. \n" ); document.write( "

Algebra.Com's Answer #782931 by ikleyn(52866) $\"\"$ $\"About$

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document.write( "Let N be the number of grams of the salt in the bin.\r\n" );
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document.write( "Consider the number N+7.\r\n" );
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document.write( "From the condition, the number N+7 is divisible by 10\r\n" );
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document.write( "and gives the remainder 4+7 = 11 equivalent to 2 when divided by 9.\r\n" );
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document.write( "The smallest positive integer N+7 with such properties is 20, i.e. N = 20-7 = 13.\r\n" );
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document.write( "The next such integer N+7 is 20+90 = 110, i.e. N = 103.\r\n" );
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document.write( "The general formula for N is  N = 13 + 90k, where k = 0, 1, 2, 3, . . . \r\n" );
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