Marcus had a rope that was 75 feet long. He cut off part of the rope. After that, the rope was 56 feet long. If f=the number of feet Marcus cut off the rope, which mathematical sentence expresses the information above?

Question

f-75=56
75+f=56
75-f=56
56-f=75

Answer 1

To express the information given in the problem mathematically, we start with the original length of the rope, which is 75 feet. After Marcus cuts off a certain length of rope, denoted as \( f \), the remaining length of the rope is 56 feet.

We can set up the equation as follows:

Original length of the rope - Length cut off = Remaining length of the rope

This can be written as:

\[ 75 - f = 56 \]

Therefore, the correct mathematical sentence that represents the situation is:

75 - f = 56