Burl and Paul have a total weight of 1300 N. The tensions in the supporting ropes that support their scaffold add to 1700 N. The weight of the scaffold itself must be
A)300 N.
B)400 N.
C)500 N.
D)600 N.

Question

Quizplus · Accepted Answer

Let's assume the weight of the scaffold is x N. From the given information, we can create the following equation:

Weight of Burl + Weight of Paul + Weight of Scaffold = Tension in ropes
or
B + P + x = 1700

We also know that the total weight of Burl and Paul is 1300 N or B + P = 1300.

We can use this information to solve for x:

B + P + x = 1700
1300 + x = 1700
x = 1700 - 1300
x = 400

Therefore, the weight of the scaffold itself is 400 N, which is the same as choice B.

Burl and Paul Have a Total Weight of 1300 N