# Word problems relating 3 variable systems of equations

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Find the equation of the parabola, $y = ax^{2} + bx + c$, that passes through (-2, -10), (1, -4), (3, 30).

1. Number Problem

The sum of the digits of a three-digit number is 16. The units digit is 2 more than the sum of the other two digits, and the tens digit is 5 more than the hundreds digit. What is the number?

1. Geometry Problem

The measure of the largest angle of a triangle is 30° less than the sum of the measures of the other two angles and 9° less than 2 times the measure of the smallest angle. Find the measures of the three angles of the triangle.

1. Investment Problem

Thomas has $6000 invested among a checking account paying 2% annual interest, a savings account paying 5% annual interest, and a bond paying 7% annual interest. He earns a total of$355 in annual interest and he has \$2300 less invested in his savings account than in her bond. How much has he invested in each account?

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