the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost

Answer: Boat cost $ 3200

Trailer cost $ 800

Step-by-step explanation: From the statement, the coat of Trailer (t) = 1/4 of the coat of the boat (b)

i. e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i. e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t = 4000

t = 4000/5

t = 800

b = 4000 - 800

b = 3200