In a championship basket ball game,Paula made twice free throws as Maria .If the total number of free throws made by both women was 12 find how many free throws Paula made
made?
Let x = the number of Maria's free throws.
2x + x = 12
To solve this problem, we'll use algebra to set up and solve an equation. Let's start by assigning variables to the unknown quantities.
Let's say that Paula made x free throws and Maria made y free throws.
According to the problem, Paula made twice as many free throws as Maria, so we can write the equation:
x = 2y
We also know that the total number of free throws made by both women is 12, so we can write another equation:
x + y = 12
Now we have a system of two equations:
x = 2y
x + y = 12
To solve this system, we can use substitution or elimination method.
Using the substitution method, we can substitute the value of x from the first equation into the second equation:
2y + y = 12
3y = 12
y = 4
Now that we have the value of y, we can substitute it back into the first equation to find the value of x:
x = 2(4)
x = 8
Therefore, Paula made 8 free throws in the game.