A player earns 30 points for solving an easy puzzle and 60 points for a hard puzzle. Tina solves a total of 50 puzzles playing this game, earning 1950 points in all. How many hard puzzle did tina solve

Tina solved 15 hard puzzles.

We can use the system of equations:

X represents the easy puzzles

Y represents the hard puzzles

x+y=50
3x+6y=195 (I just divided everything by 10 to make things easier)

Then I multiplied the first equation by -3 to be able to cross out x and solve for y.

So now we have -3x-3y=-150.

Now we can add the equations together and we get:

-3x-3y=-150
3x+6y=195
+
3y= 45

y=15.

That means that Tina solved 15 hard puzzles and 45 easy puzzles.

Hope this helps! (Plz thank)