document.write( "Question 1201362: Hi
\n" ); document.write( "Ali had 60% of the total number of marbles his other 3 friends had. Cindy had 50% of the total number Ben and Daniel had. The number Ben had was 1/3 the number daniel had. If ali had 39 more marbles than daniel, how many did they have altogether. Thanks \n" ); document.write( "

Algebra.Com's Answer #835690 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "(1) Ali had 60% of the total number of marbles his other 3 friends had.
\n" ); document.write( "(2) Cindy had 50% of the total number Ben and Daniel had.
\n" ); document.write( "(3) The number Ben had was 1/3 the number daniel had.
\n" ); document.write( "(4) If ali had 39 more marbles than daniel, how many did they have altogether.
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\n" ); document.write( "\n" ); document.write( " For convenience of referencing, I numbered the statements (1), (2), (3) and (4).\r
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document.write( "Let x be the number of marbles Ben had.\r\n" );
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document.write( "Then from (3), Daniel had 3x marbles,\r\n" );
document.write( "     and Ben and Daniel had together x+3x = 4x marbles.\r\n" );
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document.write( "Then from (2), Cindy had 0.5*(4x) = 2x marbles, \r\n" );
document.write( "     and 3 friends, Ben, Cindy and Daniel, had together 4x+2x = 6x marbles.\r\n" );
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document.write( "Then from (1), Ali had 0.6*(6x) = 3.6x marbles.\r\n" );
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document.write( "We are given in (4), that \r\n" );
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document.write( "    3.6x - 3x = 39.\r\n" );
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document.write( "It gives us\r\n" );
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document.write( "    0.6x = 39,  x =  = 65.\r\n" );
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document.write( "Hence, altogether they had  6x+3.6x = 9.6x = 9.6*65 = 624 marbles.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved using one unknown and one equation.\r
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