Question 992431
rate is equal to percent / 100.
2% is therefore equal to a rate of .02.


x is the rate that 7500 is invested at.
x - .02 is the rate that 6200 is invested at.


your equation is:


7500 * x + 6200 * (x-.02) = 698


simplify to get:


7500 * x + 6200 * x - .02 * 6200 = 698


simplify further to get:


(7500 + 6200) * x - 124 = 698


subtract 124 from both sides of the equation and simplify further to get:


13700 * x = 822.


divide both sides of the equation by 13700 to get:


x = 822 / 13700 = .06


x - .02 = .06 - .02 = .04


7500 was invested at 6% and 6200 was invested at 4%.


7500 * .06 + 6200 * .04 = 450 + 248 = 698.


your solution is that the rate for 7500 is 6% and the rate for 6200 is 4%.