document.write( "Question 700035: On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays
\n" ); document.write( "$ 40. If there had been 5 more boys in the group, each would have to pay $ 10 less. How
\n" ); document.write( "many boys were in the group? \n" ); document.write( "

Algebra.Com's Answer #431619 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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On a school picnic, a group of boys agree to pay equally for the use of a boat and each pays $ 40.
\n" ); document.write( "If there had been 5 more boys in the group, each would have to pay $ 10 less.
\n" ); document.write( " How many boys were in the group?
\n" ); document.write( ":
\n" ); document.write( "let b = no. of boys in the group
\n" ); document.write( "then
\n" ); document.write( "40b = total amt paid for the use of the boat
\n" ); document.write( ":
\n" ); document.write( "40 - $\"%2840b%29%2F%28%28b%2B5%29%29\"$ = 10
\n" ); document.write( ":
\n" ); document.write( "- $\"%2840b%29%2F%28%28b%2B5%29%29\"$ = 10 -40
\n" ); document.write( ":
\n" ); document.write( "- $\"%2840b%29%2F%28%28b%2B5%29%29\"$ = -30
\n" ); document.write( "multiply both sides by -1
\n" ); document.write( " $\"%2840b%29%2F%28%28b%2B5%29%29\"$ = 30
\n" ); document.write( "multiply both sides by (b+5)
\n" ); document.write( "40b = 30(b+5)
\n" ); document.write( "40b = 30b + 150
\n" ); document.write( "40b - 30b = 150
\n" ); document.write( "10b = 150
\n" ); document.write( "b = 15 boys
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this. total cost 40*15 = $600
\n" ); document.write( "600/20 = 30, $10 less \n" ); document.write( "

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