8) A bookstore and a movie theater are 6 kilometers apart

along the same street. A florist is located between the bookstore

and the theater on the same street. The florist is 2.5 kilometers

from the theater. How far is the florist from the bookstore?

The florist is 3.5 kilometers from the bookstore.

Step-by-step explanation:

The given problem can be solved by first forming an equation including the given values and the value which is to be found out.

This equation is then solved through transfer of values on both sides of the equal sign.

When one value is transferred to the other side of the equation, the sign of the value becomes opposite, i. e., negative sign becomes positive and multiplication becomes division.

The equation will consist of all the distances given in the problem including distance between the theater and the bookstore, distance between the theater and the florist, and the distance between the florist and the bookstore.

The above shows three values will be included in the equation.

Out of the three values, two values are given in the question itself.

We can find the third value, distance between florist and bookstore, through the above equation.

The steps on how to form the equation are described.

1 - The distance between the theater and the bookstore is 6 kilometers.

2 - The distance between the theater and the florist is 2.5 kilometers.

3 - Let the distance between the florist and the bookstore is d kilometers.

The sum of the distance between the theater and the florist and the distance between the florist and the bookstore will be written as

2.5 + d.

4 - As per the statement 1, the sum of the distance between the theater and the florist and the distance between the florist and the bookstore will be equal to 6 kilometers.

5 - When we combine step 3 and step 4, we get the equation in one variable, d.

2.5 + d = 6

=> d = 6 - 2.5

=> d = 3.5

6 - From step 3, we know that d is the distance of the florist from the bookstore.

Hence, the florist is 3.5 kilometers away from the bookstore.