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 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

Answer 1

Answer:

The number of  $8\frac{1}{4}$  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 $x.$

The length of rope Mario can cut from the rope = $8\frac{1}{4} =\frac{33}{4} \ inch.$

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:

$x\frac{33}{4} =(84-34.5)$

$x\times \frac{33}{4} =49.5$

$x\times 8.25=49.5$

Dividing both sides by  8.25  we get:

$x=\frac{49.5}{8.25}$

$x=6.$

The number of sections = 6.

Therefore, the number of  $8\frac{1}{4}$  inch sections of a rope Mario can cut from the rope is 6.