# Intermediate Algebra

To buy both a new car and a new house, Tina sought two loans totalling \$78,825. The simple interest rate on the first loan was 0.2%, while the simple interest rate on the second loan was 5.0%. At the end of the first year, Tina paid a combined interest payment of \$2817.23. What were the amounts of the two loans?

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1. Let the two loan amounts be X and Y.

X + Y = 78,825
0.002X + 0.05Y = 2817.23

Solve those two simultaneous equations.
Multiply both sides of the second equation by 20.

0.04x + Y = 56,344.60

0.96 X = 22,480.40
X = 23,417.08
Y = 55,407.92

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posted by drwls

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