<PRE><B>Question 1032329</B>
simple interest = p * r * n


p is the principal
i is the interest rate per year.
n is the number of years.


4% interest per year for 9 months would be equal to p * .04 * 9/12 years.


6% interest per year for 16 months would be equal to p * .06 * 16/12 years.


you are given that the 4% interest for 9 months is 150 dollars less than the 6% interest for 16 months.


your equation is:


p * .04 * 9/12 = p * .06 * 16/12 - 150


simplify to get .03 * p = .08 * p - 150


add 150 to both sides of the equation and subtract .03 * p from both sides of the equation to get:


150 = .08 * p - .03 * p


simplify to get 150 = .05 * p


divide both sides of the equation by .05 to get 150 / .05 = p.


simplify to get 3000 = p


your principal is 3000.


.04 * 3000 * 9/12 = 90 dollars


.06 * 3000 * 16/12 = 240 dollars


240 - 90 = 150


solution looks good.


the interest on the 4% loan for 9 months is 150 dollars less than the interest on the 6% loan for 16 months.
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