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 rope to tie a tarp on top of the tent. Then the remaining rope should be cut into 8 1/4 inches sections to tie a tent to states in the ground. Mario will use all the rope as instructed. Determine the number of 8 1/4 inch sections of rope mario can cut from the rope.

Answer 1

6

Explanation:

Mario has 7 feet of rope. Since there are 12 inches in every foot, this means he has

7(12) = 84 inches of rope.

34.5 inches of the rope must be used to tie the tarp to the top; this leaves Mario with

84-34.5 = 49.5

This remaining rope will be cut into 8 1/4 inch sections. We can also write 8 1/4 as 8.25. To find the number of sections this length he can cut, we divide:

49.5/8.25 = 6

He can cut 6 sections this length.

Answer 2

Answer: There are 6 sections of
`8(1)/(4)\ inches` of rope Mario can cut from the rope .

Explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

`1\ feet=12\ inches\\\\7\ feet=12* 7=84\ inches`

Length of rope is used to tie a tarp on top of the tent = 34.5 inches

Remaining length of rope is given by

`84-34.5=49.5\ inches`

According to question, the remaining rope should be cut into

`8(1)/(4)\ inches\\\\=(33)/(4)\ inches`

So, Number of
`8(1)/(4)\ inches` sections of rope Mario can cut from the rope is given by

`(49.5)/(8(1)/(4))\\\\=(49.5)/((33)/(4))\\\\=(49.5* 4)/(33)\\\\=6`

Hence, there are 6 sections of
`8(1)/(4)\ inches` rope Mario can cut from the rope .