Write and solve a system of equations to solve the problem.
At a film festival, Film A is 4 times as long as Film B. Together, the films are 160 min long. How long is each film?
B + 4B = 160
5B - 160
B = 32 minutes long
To solve this problem, we can set up a system of equations. Let's assume that the length of Film B is represented by x minutes. Since Film A is 4 times as long as Film B, the length of Film A would be 4x minutes.
Now we can set up the equation:
x + 4x = 160
Combining like terms gives us:
5x = 160
Next, we can solve for x by dividing both sides of the equation by 5:
5x/5 = 160/5
x = 32
So, the length of Film B is 32 minutes.
To find the length of Film A, we can substitute the value of x back into the equation:
4x = 4(32) = 128
Therefore, the length of Film A is 128 minutes.
To summarize, Film B is 32 minutes long, and Film A is 128 minutes long.