Posted by **mag** on Monday, April 29, 2013 at 7:30pm.

On a trivia game show, a contestent will answer 21 questions. A maximum of 200 points cana be earned. Some questions are worth 10 points and some are worth 8 points. Howmany of each point-value question must the contestent answer to earn the manimum number of points?

- algebra -
**Henry **, Tuesday, April 30, 2013 at 8:33pm
X 10-point questions.

Y 5-point questions.

Eq1: X + Y = 21 Questions

Eq2: 10x + 5y = 200 Points.

Multiply Eq1 by -5 and add Eq1 and Eq2:

-5x - 5y = -105

10x + 5y = 200

Solution set: (X,Y) = (19,2).

5x = 95

X = 19

In Eq1, replace x with 19:

19 + y = 21

Y = 2.

## Answer this Question

## Related Questions

- Algebra - An Algebra I test contains 30 questions. Some of the questions are ...
- math - An Algebra I test contains 40 questions. Some of the questions are worth ...
- 8th Grade Algebra - 1) An exam will have 20 questions worth a total of 100 ...
- Algebra - A history test is to have 20 questions in which some are multiple ...
- math help - I need help solving this math problem, please: Problem: Angela's ...
- Math - I need help solving this math problem, please: Problem: Angela's math ...
- algebra - A 24 question mathematics exam is worth 100 points. There are fill-in-...
- algebra - In a college, some courses contribute more towards an overall GPA than...
- math - Mia is approaching her goal of 119 points for the video game. She wants ...
- math - Mr. Noonan told Vic that his test had 38 problems worth a total of 100 ...

More Related Questions