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

b = m+1500

b = t+1900
b+m = 5t

b + (b-1500) = 5(b-1900)
b = ?

To find the weight of the boat, we need to set up a system of equations based on the given information.

Let's assign variables to the unknown weights:
Let's say the weight of the motor is represented by 'M' (in lb),
the weight of the trailer is represented by 'T' (in lb),
and the weight of the boat is represented by 'B' (in lb).

From the given information:
1) The boat weighs 1500 lb more than its motor:
B = M + 1500

2) The boat weighs 1900 lb more than its trailer:
B = T + 1900

3) Together, the boat and motor weigh five times as much as the trailer:
B + M = 5T

Now we can solve this system of equations to find the weight of the boat.

From equations 1 and 2, we have:
M + 1500 = T + 1900

Rearranging the equation:
T = M + 1500 - 1900
T = M - 400

Substituting this value of 'T' into equation 3:
B + M = 5(M - 400)

Expanding the equation:
B + M = 5M - 2000

Rearranging the equation:
B = 4M - 2000

Now, we can substitute the value of 'B' from equation 1 into this equation to find the value of 'M':
M + 1500 = 4M - 2000

Subtracting 'M' from both sides:
3M + 1500 = -2000

Subtracting 1500 from both sides:
3M = -3500

Dividing both sides by 3:
M = -3500 / 3
M = -1166.67 (approx)

Since weight cannot be negative, we can consider this value invalid.

Therefore, it seems that there is an error or inconsistency in the given information or equations. Please check the problem statement again and make sure all the details are accurate.