a boat weighs 1500 more than its motor and 1900 more than its trailer.  Together the boat and motor weigh 5 times as much as the trailer.  How much does the boat weigh?
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a boat weighs 1500 more than its motor and 1900 more than its trailer. Together the boat and motor weigh 5 times as much as the trailer. How much does the boat weigh?

B = boat weight

B-1500 = motor weight

 and B-1900 = trailer weight

B + motor weight = 5* trailer weight

substitute into the last equation

B + (B-1500) = 5* (B-1900)

B+ B-1500= 5B-9500

set the unknown to one side of the equation

-1500 +9500 = 5B -2B

8000 = 3B

8000/3 = B

2666.67 = B

 

 

by Level 6 User (19.3k points)

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