document.write( "Question 550116: When several boys tried to divide a sum of money by giving 10 dollar to each boy,7 boy got nothing.when each boy took 9 dollar,the had 7 dollar left over.what is the sum of the number of money and the number of boys? \n" ); document.write( "
Algebra.Com's Answer #358465 by ankor@dixie-net.com(22740)\"\" \"About 
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When several boys tried to divide a sum of money by giving 10 dollars to each boy, 7 boys got nothing.
\n" ); document.write( "When each boy took 9 dollars, they had 7 dollars left over.
\n" ); document.write( "What is the sum of the number of money and the number of boys?
\n" ); document.write( ":
\n" ); document.write( "Let a = total amt of money
\n" ); document.write( "Let b = no. of boys involved
\n" ); document.write( ":
\n" ); document.write( "Equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"When several boys tried to divide a sum of money by giving 10 dollars to each boy, 7 boys got nothing.\"
\n" ); document.write( "\"a%2F%28%28b-7%29%29\" = 10
\n" ); document.write( "a = 10(b-7)
\n" ); document.write( "a = 10b - 70
\n" ); document.write( ":
\n" ); document.write( "\"When each boy took 9 dollars, they had 7 dollars left over.\"
\n" ); document.write( "\"%28%28a-7%29%29%2Fb\" = 9
\n" ); document.write( "a - 7 = 8b
\n" ); document.write( "a = 9b + 7
\n" ); document.write( ":
\n" ); document.write( "In the 1st equation, replace a with (9b+7)
\n" ); document.write( "9b + 7 = 10b - 70
\n" ); document.write( "7 + 70 = 10b - 9b
\n" ); document.write( "b = 77 boys
\n" ); document.write( ":
\n" ); document.write( "Find a
\n" ); document.write( "a = 9b + 7
\n" ); document.write( "a = 9(77) + 7
\n" ); document.write( "a = 693 + 7
\n" ); document.write( "a = $700 is the amt
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check this in the 1st equation
\n" ); document.write( "a = 10b - 70
\n" ); document.write( "700 = 10(77) - 70
\n" ); document.write( "700 = 770 - 70; confirms our solution of: 77 boys, $700
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