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A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *

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Answer:

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Step-by-step explanation:

musiclover10045

Write equations with j own information:

Adult + child = 200

Adult = 200 - child

3.00 Adult + 1.50 child = 510

Combine equations:

3.00(200-child) + 1.50 child = 510

Simplify:

600 -3.00 child + 1.50 child = 510

600 - 1.50 child = 510

Subtract 600 from both sides:

-1.50 child = -90

Divide both sides by -1.50

Child = -90 / -1.50

Child = 60

There were 60 child seats sold and 140 adult seats sold.