Ishwar S. answered • 09/20/18

Tutor

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University Professor - General and Organic Chemistry

Hello Loretta

Let T = trailer and B = boat.

Trailer costs 1/4 of the boat. This translates to T = 1/4B. Multiply both sides of the equation by 4 and this will get rid of the fraction'4' in the denominator.

4 x T = 4 x 1/4B

4T = B

Cost of both the trailer and the boat = $4,000. This translates to T + B = 4,000. Substitute B = 4T in this equation, you get

T + 4T = 4,000

5T = 4,000

T = 4,000 / 5 = 800 (Trailer costs $800).

T + B = 4,000

B = 4,000 - T = 4,000 - 800 = 3,200 (Boat costs $3,200)