Question

4. Mr. Ledic works in a coffee shop approximately nine miles from her apartment. She

bikes every day from her apartment to the coffee shop and then back to her

apartment in the evening. On her way to work, she always stops halfway through to

meet her best friend at a park. If the distance from Mr. Ledic's apartment to the

park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles

long, then what is the value of x?

Answer 1

Answer: 0.3929

Explanation:

From the question, we are going to assume that the apartment, park and shop lies on a straight line.

We've been told that Mr. Ledic's apartment to the park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles while the coffee shop is nine miles from her apartment. This vsn be written as:

(5x+6)+(23x-8) = 9

28x+6-8=9

28x-2=9

28x=9+2

28x=11

x=11/28

x = 0.3929

Therefore, the value of x is 0.3929