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 tie a tarp on top of the tent. Then, the remaining rope should be cut into 8 1/4 inch sections to tie the tent to 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 rope Mario can cut from the rope. Show your work.

Question

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 tie a tarp on top of the tent. Then, the remaining rope should be cut into 8 1/4 inch sections to tie the tent to 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 rope Mario can cut from the rope. Show your work.

Answer 1

First, we need to convert the amount of rope used to tie the tarp from inches to feet.

34.5 inches ÷ 12 inches/foot = 2.875 feet

Now we can find the amount of rope left for the stakes.

7 feet - 2.875 feet = 4.125 feet

We need to convert this to inches to make it easier to work with the 8 1/4 inch sections.

4.125 feet × 12 inches/foot = 49.5 inches

Now we can divide the remaining rope by the length of each section:

49.5 inches ÷ 8.25 inches/section = 6 sections

Therefore, Mario can cut 6 sections of 8 1/4 inch rope from the remaining rope after tying the tarp.