# Word problems relating 3 variable systems of equations

##### Examples

###### Lessons

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

**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?

**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.

**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?

###### Free to Join!

#### Easily See Your Progress

We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.#### Make Use of Our Learning Aids

#### Earn Achievements as You Learn

Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.#### Create and Customize Your Avatar

Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.

remaining today

remaining today