Question

Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions were 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 al 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.

Answer 1

Answer:

6

Step-by-step explanation:

Converting 7 ft to inches:

$7*12=84$ inches

• 34.5 inches is used, and remaining is used for $8\frac{1}{4}$ in. sections.
• Let $x$ be the number of $8\frac{1}{4}$ in. sections. ($8\frac{1}{4}$ can be written as 8.25 inches)

We set up the equation as:

$34.5+8.25x=84$

Now solving for $x$ would give us the number of 8.25 inch sections:

$8.25x=84-34.5\\8.25x=49.5\\x=\frac{49.5}{8.25}=6$

Hence, Mario can cut 6 (8.25 inch) sections from the rope

Answer 2

Answer:

$The\ number\ of\ 8 \frac{1}{4}\ inches\ of\ section\ of\ rope\ be\ 6.$

Step-by-step explanation:

As given

Mario is setting up a new tent during a camping trip.

The tent came with 7 feet of rope.

As 1 foot = 12 inches

Now convert 7 feet into inches.

7 feet = 7 × 12 inches

         = 84 inches

As given

The instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent.

Than

Rope left after tie a tarp on top of the tent = 84 - 34.5

                                                                      = 49.5 inches

As given

$The\ remaining\ rope\ should\ be\ cut\ into\ 8 \frac{1}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.$

i.e

$The\ remaining\ rope\ should\ be\ cut\ into\ \frac{33}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.$

$Let\ us\ assume\ the\ number\ of\ \frac{33}{4}\ inches\ section\ of\ rope\ be\ x.$

Than the  equation becomes

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

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

$x = \frac{198}{33}$

x = 6