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A charity is selling T-shirts in order to raise money. The cost of a T-shirt is $15 for adults and $10 for students. The charity needs to raise at least $3000 and has only 250 shirts. Write a system of inequalities that can be used to determine the number of adult and student T-shirts the charity must sell.
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the total is 250, and if you call the number adult shirts \(x\) and the number of student shirts \(y\) then you know \(x+y=250\)
to raise at least $3000, then you have\[15x+10y\geq 3000\]
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