Question

The equation b = 1 + 3n tells the number of beams b required to build a frame of n sections how many sections can be built with 79 beams?

Answer 1

To determine the number of sections that can be built with 79 beams, we can rearrange the given equation to solve for n:

b = 1 + 3n

Substituting the given value of b (79) into the equation, we have:

79 = 1 + 3n

Subtracting 1 from both sides:

79 - 1 = 1 + 3n - 1
78 = 3n

Dividing both sides by 3:

78/3 = 3n/3
26 = n

Therefore, with 79 beams, it would be possible to build 26 sections of the frame.