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

Answer: There are 6 sections of  $8\frac{1}{4}\ inches$  of rope Mario can cut from the rope .

Step-by-step explanation:

Since we have given that

Length of the rope for the tent = 7 feet

As we know that

$1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches$

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

$8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches$

So, Number of  $8\frac{1}{4}\ inches$ sections of rope Mario can cut from the rope is given by

$\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6$

Hence, there are 6 sections of $8\frac{1}{4}\ inches$ rope Mario can cut from the rope .

Answer 2

Answer:

6

Step-by-step 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.