Question

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

Answer 1

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)