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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of the rope. The instructions are to use 34.5 inches of rope to tie a tarp on top the the tent. Then, the remaining rope should be cut 8 1/4 sections to tie tent to stakes in the ground. Mario will use all of the top 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.



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Respuesta :

JeanaShupp

Answer: The required equation is [tex]x=(7\times12-34.5)\div8\frac{1}{4}[/tex]

Maria can cut 6 sections from the remaining rope.


Step-by-step explanation:

The total length of rope = 7 feet

since 1 feet = 12 inches

Therefore, 7 feet=[tex]7\times 12=84\ inches[/tex]

Let x be the number of sections.

Since the instructions are to use 34.5 inches of rope to tie a tarp on top the the tent. Then, the remaining rope should be cut 8 1/4 inch sections to tie tent to stakes in the ground.

then the required equation will be

[tex]x=(7\times12-34.5)\div8\frac{1}{4}\\\Rightarrow\ x=(84-34.5)\div \frac{33}{4}\\\Rightarrow\ x=49.5\div8.25\\\Rightarrow\ x=6[/tex]

So, maria can cut 6 sections.

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