Write the system of inequality for thisparagraph:The ninth graders are hosting the nextschool dance. They would like to make atleast a $500 profit from selling tickets.The ninth graders estimate that at most300 students will attend the dance. lheywill earn $3 for each ticket purchased inadvance and $4 for each ticket purchasedat the door.

Question

31-10-2022
Mathematics

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Write the system of inequality for thisparagraph:The ninth graders are hosting the nextschool dance. They would like to make atleast a $500 profit from selling tickets.The ninth graders estimate that at most300 students will attend the dance. lheywill earn $3 for each ticket purchased inadvance and $4 for each ticket purchasedat the door.

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ZoharJ763971 ZoharJ763971 · Answer 1 · 2022-10-31T03:21:56+01:00

[tex]\begin{gathered} \begin{equation*} \begin{matrix}\end{matrix}3x+4y\ge500 \end{equation*} \\ x+y\leqslant300 \end{gathered}[/tex]

1) We can write out the following system of inequalities:

[tex]\begin{gathered} \begin{matrix}\end{matrix}3x+4y\ge500 \\ x+y\leq300 \end{gathered}[/tex]

The first inequality refers to the profit from selling tickets, where x is the profit from tickets, and the second one refers to the maximum number of students that will be at the party.