A park bench is located 73 1/2 feet away from the basketball court. The pond which is located between the two is 25 3/8 feet away from the basketball court. How far away from the park bench is the pond located?

Respuesta :

Answer:

The pond is located  [tex]48\frac{1}{8}\ feet[/tex]  away from the park bench.

Step-by-step explanation:

Given:

A park bench is located 73 1/2 feet away from the basketball court. The pond which is located between the two is 25 3/8 feet away from the basketball court.

Now, to find the distance the park bench from the pond.

The distance park bench is located away from the basketball court = [tex]73\frac{1}{2}\ feet=\frac{147}{2} \ feet.[/tex]

As, the pond is located between the park bench and the basketball court.

The distance pond is located away from the basketball court = [tex]25\frac{3}{8}=\frac{203}{8}\ feet.[/tex]

Now, to get the distance far away the pond is located from the park bench by subtracting the distance pond is located away from the basketball court from the distance park bench is located away from the basketball court:

[tex]\frac{147}{2}-\frac{203}{8}[/tex]

[tex]=\frac{588-203}{8}[/tex]

[tex]=\frac{385}{8}[/tex]

[tex]=48\frac{1}{8} \ feet.[/tex]

Therefore, the pond is located  [tex]48\frac{1}{8}\ feet[/tex]  away from the park bench.