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In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?10
15
25
35

Respuesta :

luisejr77

Answer:  Second option.

Step-by-step explanation:

Let be "e" the number of easy puzzles Tina solved and "h"  the number of hard puzzles Tina solved.

Set up a system of equations:

[tex]\left \{ {{e+h=50} \atop {30e+60h=1,950 }} \right.[/tex]

You can use the Eliminationn Method to solve this system of equations:

  • Multiply the first equation by -30.
  • Add the equations.
  • Solve for "h".

Therefore, through this proccedure, you get:

[tex]\left \{ {-30e-30h=-1,500} \atop {30e+60h=1,950 }} \right.\\.........................\\30h=450\\\\h=\frac{450}{30} \\\\h=15[/tex]

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