SOLUTION: 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?

Question 152988This question is from textbook Algebra-Structure and Method
: 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? This question is from textbook Algebra-Structure and Method

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Remember:
, weighs 1500lbs more than its motor ---------------> eqn 1
, weighs 1900lbs more than its trailer -------------> eqn 2
, Boat & motor weighs 5times the trailer ------------------> eqn 3
First, we equate both eqn 1 & 2:
------>
-----------------------------------------> eqn 4
Substitute eqn 4 in eqn 3:
--------->
----------------------------------------> eqn 5
Substitute eqn 5 in eqn 2:

-------->
, WEIGHT OF THE TRAILER
GO BACK eqn 5 to get the weight of the Boat:

, WEIGHT OF THE BOAT -----> WHAT IS ASK IN THE PROBLEM
In doubt? Go back eqn 3 to check. But 1st we get the weight of the motor via eqn 4:
, WEIGHT OF THE MOTOR
then via eqn 3,

Thank you,
Jojo

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