Math
posted by Heather .
A customer purchased a car and financed $16,000. The customer borrowed part of the money from a bank charging 10% annual interest and the rest from a credit union at 8% annual interest. If the total interest for the year was $1,390 how much was borrowed from the bank and how much was borrowed from the credit union?

Math 
drwls
Set this up as an algebra problem in two variables. Let X be borrowed at 10% and Y be borrowed at 8%. Here is what you know:
X + Y = 16,000
0.10X + 0.08Y = 1390
Solve by substitution, or by multiplying the second equation by 10 and subtracting from the first.
X + 0.8Y = 13900
0.2Y = 2100
Y = 10,500
Now solve for X. It is the rest of the $16,000.
Respond to this Question
Similar Questions

eco
Suppose a person pays $80 of annual interest on a loan that has a 5 percent annual interest rate. The loan amount is: A. $400. B. $1,600. C. $160. D. $85. 10. Suppose a loan customer is considering two alternative $22,000 loans. Loan … 
algebra
HELP! Please Calvin invested $7500 for one year, part 12% annual interest and the rest at 10% annual interest. His total interest for the year was $890. How much money did he invest at 12%? 
algebra
Calvin invested $7500 for one year, part 12% annual interest and the rest at 10% annual interest. His total interest for the year was $890. How much money did he invest at 12%? 
math
Model this situation w/ a linear system: Melissa borrowed $10, 000 for her university tuition. She borrowed part of the money at an annual interest rate of 2.4 % and the rest of the money at an annual rate of 4.5 %. Her total annual … 
math
Model this situation w/ a linear system: Melissa borrowed $10, 000 for her university tuition. She borrowed part of the money at an annual interest rate of 2.4 % and the rest of the money at an annual rate of 4.5 %. Her total annual … 
lehman
Investment A clothing company borrows $700,000. Some of the money is borrowed at 8%, some at 9%, and some at 10% simple annual interest. How much is borrowed at each rate when the total annual interest is $60,500 and the amount borrowed … 
Math
Interest is a concept familiar to most people: every credit card in existence has a term called annual percentage rate (APR), which is an interest rate. Suppose you charged $1,000 to a credit card that has a minimum payment each month … 
math
An investment of $3,000 is made at an annual simple interest of 5%. How much additional money must be invested at an annual simple interest rate of 8%, so that the total annual interest earned is 7.5 of the original amount that you … 
math 1324
a natural history museum borrowed $2,000,000 at simple annual interest to purchase new exhibits. Some of the money was borowed at 7%, some at 8.5%, and some at 9.5%. Use a system of linear equations to determine how much was borrowed … 
Math
Larry Mitchell invested part of his $27,000 advance at 5% annual simple interest and the rest at 2% annual simple interest. If his total yearly interest from both accounts was $720â€‹, find the amount invested at each rate