Question

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 10 3/4 gallons of water to enter the pool, and the drain allows 12 1/3 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.

Answer 1

After 1 1/2 minutes, the amount of change in the amount of water in the pool would be -3 5/8.

In order to determine the change in the amount of water in the pool after 1 1/2 minutes, the first step is to determine the change in the amount of pool in the water in 1 minute .

The change in the amount of pool in the water in 1 minute can be determine by subtracting the amount of water that enters the pool in one minute from the amount of water that drains from the pool in one minute.

$10\frac{3}{4}$ - $12\frac{1}{3}$

$-2\frac{9-4}{12}$

$-2\frac{5}{12}$

This means that the amount of water in a pool declines by 2 5/12 every minute.

The second step is to determine the change in the amount of water in 11/2

Change in 1 1/2 minute = change in water in one minute x $1\frac{1}{2}$

$1\frac{1}{2}$ x $-2\frac{5}{12}$

$\frac{3}{2}$ x $\frac{-29}{12}$ = $-3\frac{5}{8}$

To learn more about adding fractions, please check:

https://brainly.com/question/11664473?referrer=searchResults

Answer 2

Answer:

The correct answer is -2 $\frac{3}{8}$

Step-by-step explanation: