Kris and Julio played a card game. Together, they scored 36 points in one game. Kris scored 2 times as many points as Julio. How many points did Kris and Julio each score? Write an equation and solve. Explain your work.
k=2j
k+j=36
now solve as usual
To solve this problem, let's assign variables to the unknowns. Let's say Kris scored x points and Julio scored y points.
According to the problem, Kris scored 2 times as many points as Julio. This can be written as an equation:
x = 2y
Additionally, the sum of their scores is 36 points:
x + y = 36
Now we have a system of two equations with two variables. We can solve this system to find the values of x and y.
We will use the substitution method, which involves substituting the value of one variable from one equation into the other equation. In this case, we can substitute 2y for x in the second equation:
2y + y = 36
Simplifying the equation, we get:
3y = 36
Next, we can solve for y by dividing both sides of the equation by 3:
y = 36 / 3
y = 12
Now that we know the value of y, we can find the value of x by substituting y = 12 back into the first equation:
x = 2(12)
x = 24
Therefore, Kris scored 24 points and Julio scored 12 points in the game.