Answer:
The answer is:
5 ft is 13.33% of 37 1/2 ft; 37 1/2 ft is 750% of 5 ft.
Step-by-step explanation:
Given:
5 ft is ____ % of 37 1 2 ft.
Now, to find the __ :
Let __ be [tex]x.[/tex]
So, 5 ft is [tex]x\%[/tex] of 37 1/2
[tex]5=x\% of 37\frac{1}{2}[/tex]
⇒ [tex]5=\frac{x}{100} \times \frac{75}{2}[/tex]
⇒ [tex]5=\frac{75x}{200}[/tex]
Multiplying both sides by 200 we get:
⇒ [tex]1000=75x[/tex]
Dividing both sides by 75 we get:
⇒ [tex]13.33=x[/tex]
⇒ [tex]x=13.33\%.[/tex]
Now, 37 1/2 ft is [tex]x[/tex]% of 5 ft.
[tex]\frac{75}{2} =x\%\ of\ 5[/tex]
[tex]\frac{75}{2}=\frac{x}{100}\times 5[/tex]
[tex]\frac{75}{2} =\frac{5x}{100}[/tex]
Multiplying both sides by 100 we get:
[tex]\frac{7500}{2} =5x[/tex]
Dividing both sides by 5 we get:
[tex]750=x[/tex]
[tex]x=750\%[/tex]
Therefore, the answer is 5 ft is 13.33% of 37 1/2 ft; 37 1/2 ft is 750% of 5 ft.
