Question

Mia conducted a five hour experiment. She used a liquid solution. The solution decreased by 9/8 ounces every hour for 5 hours. At the end of the experiment, there were 99/8 ounces of the solution remaining. How many ounces of solution did Mia start with? *

Answer 1

Given:

The solution decreased by
`(9)/(8)` ounces every hour for 5 hours.

Remaining solution at the end of the experiment =
`(99)/(8)` ounces.

To find:

The initial amount of solution.

Solution:

Let the initial amount of the solution be x.

The solution decreased by
`(9)/(8)` ounces every hour for 5 hours.

Total decreased amount
`=(9)/(8)* 5`

`=(45)/(8)`

Initial amount = Remining amount + Decreased amount of solution.

`x=(99)/(8)+(45)/(8)`

`x=(99+45)/(8)`

`x=(144)/(8)`

`x=18`

Therefore, the initial amount of solution is 18 ounces.