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#29845

money

word problem

inequalities

medium

80 sec

A theater is selling $x$ adult tickets and $y$ child tickets for a play. They need to sell at least 50 tickets in total. An adult ticket costs $15, and a child ticket costs $10. The theater's goal is to generate at least $600 in total revenue from ticket sales. Which of the following systems of inequalities models this situation?

A.

$x + y \geq 50$
$15 x + 10 y \geq 600$

B.

$x + y \leq 50$
$15 x + 10 y \leq 600$

C.

$x + y \geq 50$
$10 x + 15 y \geq 600$

D.

$x + y \leq 50$
$10 x + 15 y \leq 600$