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.

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