Mario is setting up a new tent during a camping trip . The tent came with 7 feet of rope . The instructions are to use 34.5 inches of the rope to a tie the tent stakes in the ground . Mario will use all of the rope as instructed. Write and solve an equation to determine the number of 8 1/4 inch sections of a rope Mario can cut from the rope . Show your work

The number of    inch sections of a rope Mario can cut from the rope is 6.

Step-by-step explanation:

Given:

Mario is setting up a new tent during a camping trip . The tent came with 7 feet of rope . The instructions are to use 34.5 inches of the rope to a tie the tent stakes in the ground . Mario will use all of the rope as instructed

Now, to write and solve equation to determine the number of 8 1/4 inch sections of a rope Mario can cut from the rope.

Let the number of sections be

The length of rope Mario can cut from the rope =

Total length of rope = 7 feet.

So, 1 feet = 12 inches.

Thus, the length of rope in inches = 7 × 12 = 84 inches.

The length of rope to tie the tent stakes in the ground = 34.5 inches.

According to question:

Now, to get the number of sections we put an equation:

Dividing both sides by  8.25  we get:

The number of sections = 6.

Therefore, the number of    inch sections of a rope Mario can cut from the rope is 6.