Respuesta :
Answer:
The number of [tex]8\frac{1}{4}[/tex] 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 [tex]x.[/tex]
The length of rope Mario can cut from the rope = [tex]8\frac{1}{4} =\frac{33}{4} \ inch.[/tex]
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:
[tex]x\frac{33}{4} =(84-34.5)[/tex]
[tex]x\times \frac{33}{4} =49.5[/tex]
[tex]x\times 8.25=49.5[/tex]
Dividing both sides by 8.25 we get:
[tex]x=\frac{49.5}{8.25}[/tex]
[tex]x=6.[/tex]
The number of sections = 6.
Therefore, the number of [tex]8\frac{1}{4}[/tex] inch sections of a rope Mario can cut from the rope is 6.
