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SAT Math Practice Question

Roberto is an insurance agent who sells two types of policies: a $\$ 50,000$ policy and a $\$ 100,000$ policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $\$ 3,000,000$. Which of the following systems of inequalities describes $x$, the possible number of $\$ 50,000$ policies, and $y$, the possible number of $\$ 100,000$ policies, that Roberto sold last month?

  1. A.$x+y<57$ $50,000 x+100,000 y<3,000,000$
  2. B.$x+y>57$ $50,000 x+100,000 y>3,000,000$
  3. C.$x+y<57$ $50,000 x+100,000 y>3,000,000$
  4. D.$x+y>57$ $50,000 x+100,000 y<3,000,000$

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