# SOLUTION: A bank loans me \$13,000 for one year. Part of the loan is at 8% Part of the loan is at 18% The total interest paid is \$2,000. How much of the \$2,000 was at 8% and how much was

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 Click here to see ALL problems on percentage Question 407744: A bank loans me \$13,000 for one year. Part of the loan is at 8% Part of the loan is at 18% The total interest paid is \$2,000. How much of the \$2,000 was at 8% and how much was at 18% And how do I solve for that? Thank you.Answer by ankor@dixie-net.com(15747)   (Show Source): You can put this solution on YOUR website!A bank loans me \$13,000 for one year. Part of the loan is at 8% Part of the loan is at 18% The total interest paid is \$2,000. How much of the \$2,000 was at 8% and how much was at 18% : We can solve it using two unknowns Let a = amt of loan at 8% Let b - amt of loan at 18% : Write an equation for the total amt a + b = 13000 a = (13000-b); use this form for substitution : Write an equation for the total interest: .08a + .18b = 2000 : Replace a with (13000-b) .08(13000-b) + .18b = 2000 1040 - .08b + .18b = 2000 -.08b + .18b = 2000 -1040 .10b = 960 b = b = \$9600 at 18% interest and 13000-9600 = \$3400 at 8% interest : : You can check these solutions in the total interest equation