Question

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? A) 10 B) 15 C) 25 D) 35

Answer 1

The answer is C. 25...

Answer 2

B) 15

Explanation:

In order to solve this we have to create a system of equations, where the easy puzzles are represented by x, and the hard puzzles are y, so you just have to multiply that for the points to get the total points in all:

30x+60y=1950

If the player did 50 in total:

x+y=50

Now we just solve for x in the second equation and then insert that into the first equation:

x=50-y

30(50-y)+60y=1950

1500-30y+60y=1950

30y=450

y=450/30

y=15

So we know that Tina solved 15 hard puzzles.