Question

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

Answer 1

15.

Explanation:

Given, a player can earn 30 points for an easy puzzle and 60 points for solving a hard puzzle. Tina solved total 50 puzzles and earned 1950 points. Let, x= easy puzzle and y= hard puzzle.

So, according to the conditions, the equations will be x+y= 50, and 30x+ 60y= 1950. Now, multiplying the first equation with 30, we get a third equation, which is 30x+30y= 1500. Let's subtract the second and third equations. By subtracting, we get, 30y= 450

or y= 15.

So, Tina solved 15 hard puzzles.