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

Using a system of equations, it is found that Tina solved 35 easy puzzles and 15 hard puzzles.

For our system, we are going to say that:

Total of 50 puzzles, thus:

Each easy puzzle earns 30 points, each hard 60, total of 1950 points, thus:

From the first equation:

Replacing in the second:

Then:

Tina solved 35 easy puzzles and 15 hard puzzles.

A similar problem is given at link

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:

Multiply 60 in equation (1), we get

Subtract equation (2) from (3), we get

Put x=-35 in (1), we get

Hence, Tine solved 15 hard puzzles.