Mccarthy Sandoval
04/13/2024 · Primary School

To qualify for a prize, a student has to sell at least \( \$ 1,500 \) worth of yearbook advertisements consist- ing of no fewer than 15 individual ads. If \( x \) is the number of full-page ads sold for \( \$ 100 \) each, \( y \) is the number of half-page ads sold for \( \$ 70 \) each, and \( z \) is the number of quarter-page ads sold for \( \$ 50 \) each, which of the following systems of inequalities represents this situation?

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The system of inequalities representing the situation is: \[ \begin{align*} 100x + 70y + 50z & \geq 1500 \\ x + y + z & \geq 15 \\ x & \geq 0 \\ y & \geq 0 \\ z & \geq 0 \end{align*} \]

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