document.write( "Question 152988This question is from textbook Algebra-Structure and Method
\n" ); document.write( ": A boat weighs 1500 pounds more than its motor and 1900 pounds more than its trailer. Together the boat and motor weigh 5 times as much as the trailer. How much does the boat weigh? \n" ); document.write( "
Algebra.Com's Answer #112453 by jojo14344(1513)\"\" \"About 
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Remember:
\n" ); document.write( "\"Boat=B=1500%2BM\", weighs 1500lbs more than its motor ---------------> eqn 1
\n" ); document.write( "\"Boat=B=1900%2BT\", weighs 1900lbs more than its trailer -------------> eqn 2
\n" ); document.write( "\"B%2BM=5T\", Boat & motor weighs 5times the trailer ------------------> eqn 3
\n" ); document.write( "First, we equate both eqn 1 & 2:
\n" ); document.write( "\"1500%2BM=1900%2BT\" ------> \"M=1900%2BT-1500\"
\n" ); document.write( "\"M=400%2BT\" -----------------------------------------> eqn 4
\n" ); document.write( "Substitute eqn 4 in eqn 3:
\n" ); document.write( "\"B%2B400%2BT=5T\" ---------> \"B=5T-400-T\"
\n" ); document.write( "\"B=4T-400\" ----------------------------------------> eqn 5
\n" ); document.write( "Substitute eqn 5 in eqn 2:
\n" ); document.write( "\"4T-400=1900%2BT\"
\n" ); document.write( "\"4T-T=1900%2B400\"
\n" ); document.write( "\"3T=2300\" --------> \"cross%283%29T%2Fcross%283%29=cross%282300%29766.67%2Fcross%283%29\"
\n" ); document.write( "\"T=766.67lbs\", WEIGHT OF THE TRAILER
\n" ); document.write( "GO BACK eqn 5 to get the weight of the Boat:
\n" ); document.write( "\"B=%284%2A766.67%29-400=3066.68-400\"
\n" ); document.write( "\"B=2666.68lbs\", WEIGHT OF THE BOAT -----> WHAT IS ASK IN THE PROBLEM
\n" ); document.write( "In doubt? Go back eqn 3 to check. But 1st we get the weight of the motor via eqn 4:
\n" ); document.write( "\"M=400%2B766.67=1166.67lbs\", WEIGHT OF THE MOTOR
\n" ); document.write( "then via eqn 3,
\n" ); document.write( "\"B%2BM=5T\"
\n" ); document.write( "\"2666.68%2B1166.67=5%2A766.67\"
\n" ); document.write( "\"3833.35lbs=3833.35lbs\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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