Problema Solution

Mary invested one amount at 10% simple interest, and a second amount at 3% interest, earning $21.72 in one year. If she had switched the amounts, she would have earned $15.07. What were the two amounts?

Answer provided by our tutors

Let first amount = x

Let second amount = y

.1x+0.03y = 21.72

.03x+0.1y = 15.07

=> .03x + 0.009y =  6.516

subtracting the above equation from second we get

0.091y = 8.554 => y = 94

=> x = 189