SOLUTION: Question: A finance company lent a certain amount money to Firm A at 7% annual interest. An amount $100 less than that lent to Firm A was lent to Firm B at 8% and an amount $200 mo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Question: A finance company lent a certain amount money to Firm A at 7% annual interest. An amount $100 less than that lent to Firm A was lent to Firm B at 8% and an amount $200 mo      Log On


   



Question 901354: Question: A finance company lent a certain amount money to Firm A at 7% annual interest. An amount $100 less than that lent to Firm A was lent to Firm B at 8% and an amount $200 more than that was lent to Firm C at 8.5%. All loans were for one year. If the total annual income is $126.50, how much was lent to each firm?
Use x for the amount of rent for Firm A.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a=.07x
b=.08(x-100)
c=.085(x+100)
a+b+c=126.50
incomes a=37.5319, b=34.8936, c=54.0745,
x=536.17
Firm A 536.17
Firm B 436.17
Firm C 636.17