in a certain game, a player can solve easy or hard puzzles. a player earns 30 points for solving an easy puzzles and 60 points for solving a hard puzzled. Tina solved a total of 50 Puzzles playing this game, earning 1950 points in all. How many hard puzzles did Tina solve

Answer: Tine solved 15 hard puzzles.Step-by-step explanation:Let x be the number of easy puzzles and y be the number of hard puzzels.Given : A player earns 30 points for solving an easy puzzles and 60 points for solving a hard puzzled. Tina solved a total of 50 Puzzles playing this game, earning 1950 points in all.Then system of equations for above description:[tex]x+y=50--------(1)\\30x+60y=1950---------(2)[/tex]Multiply 60 in equation (1), we get[tex]60x+60y=3000-----(3)[/tex]Subtract equation (2) from (3), we get[tex]30x=1050\\\\\Rightarrow\ x=\dfrac{1050}{30}=35[/tex]Put x=-35 in (1), we get[tex]35+y=50\\\\\Rightarrow\ y=50-35=15[/tex]Hence, Tine solved 15 hard puzzles.