Answer:
The answer is:
5 ft is 13.33% of 37 1/2 ft; 37 1/2 ft is 750% of 5 ft.
Explanation:
Given:
5 ft is ____ % of 37 1 2 ft.
Now, to find the __ :
Let __ be
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
So, 5 ft is
of 37 1/2
![5=x\% of 37(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sh93n2v1xwt6tvykaj0s5rinzomm6pnpk3.png)
⇒
![5=(x)/(100) * (75)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/me7zjup93hodqz17cke0jqo90tsgcfkjhd.png)
⇒
![5=(75x)/(200)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8y6bshg2qe2d4p609fu5j9xnbqrzv6hio7.png)
Multiplying both sides by 200 we get:
⇒
![1000=75x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1ukbvx30rz3li2u2s83benw9je1565jhze.png)
Dividing both sides by 75 we get:
⇒
![13.33=x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9vfnfhr6uc3wim61qonpdqassmqcxiej2s.png)
⇒
![x=13.33\%.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/h15qz8qb8orcb6wty25dqaht977k3dw4p5.png)
Now, 37 1/2 ft is
% of 5 ft.
![(75)/(2) =x\%\ of\ 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p11ck0ehznh662f5aukgysyb0mmdkrqu5x.png)
![(75)/(2)=(x)/(100)* 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xyewguq42qwq4ftley1nt726yqv6eeh36y.png)
![(75)/(2) =(5x)/(100)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1yb5t1czfu73sz26sb19npg9k4vks9uinf.png)
Multiplying both sides by 100 we get:
![(7500)/(2) =5x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/535v8qb9c5yjqz3xkbkbm8ocd020opa404.png)
Dividing both sides by 5 we get:
![750=x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4ra0g2ww3y10hfmyoktff1qn94pomj4aqb.png)
![x=750\%](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6dzsqvwwxsemgcgma5bhf1frdd800igqc8.png)
Therefore, the answer is 5 ft is 13.33% of 37 1/2 ft; 37 1/2 ft is 750% of 5 ft.