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

6

Explanation:

Converting 7 ft to inches:

`7*12=84` inches

• 34.5 inches is used, and remaining is used for
  `8(1)/(4)` in. sections.
• Let
  `x` be the number of
  `8(1)/(4)` in. sections. (
  `8(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=(49.5)/(8.25)=6`

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

Answer 2

`The\ number\ of\ 8 (1)/(4)\ inches\ of\ section\ of\ rope\ be\ 6.`

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 (1)/(4)\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.`

i.e

`The\ remaining\ rope\ should\ be\ cut\ into\ (33)/(4)\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.`

`Let\ us\ assume\ the\ number\ of\ (33)/(4)\ inches\ section\ of\ rope\ be\ x.`

Than the equation becomes

`(33* x)/(4) = 49.5`

`x = (49.5* 4)/(33)`

`x = (198)/(33)`

x = 6