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Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth $\(c\)$ points, and each star is worth $\(s\)$ points.<br/><br/>* The first time she played, Angela scored 700 points. She collected 20 coins and 10 stars.<br/>* The second time she played, Angela scored 850 points. She collected 25 coins and 12 stars.<br/><br/>Which system of equations can be used to correctly determine the values of $\(c\)$ and $\(s\)$ ?<br/><br/>* $\(10c+20s=700\)$<br/>* $\(12c+25s=850\)$<br/>* $\(20c+10s=700\)$<br/>* $\(25c+12s=850\)$<br/>* $\(20c+700s=10\)$<br/>* $\(25c+850s=12\)$