Julian and Stacey needed 10 liters of water to fill a tank. Stacey filled the tank with 3 11/12 liters of water. Julian poured 1 2/5 liters less than Stacey into the tank. How much more water is still needed to fill the tank?
10 -3 11/12 - (3 11/12 - 1 2/5) = 10 - 47/12 - (47/12 - 7/5) =
10 - 47/12 - 47/12 + 7/5 = 10 -94/12 + 7/5 = 50/5 + 7/5 - 94/12 =
57/5 - 94/12 = 684/60 - 470/60 = 214/60 = 3 34/60 = 3 17/30 Liters needed.
Note: The sum of my number and Steve's should be 10.
Check: 6 13/30 + 3 17/30 = 9 + 30/30 = 10. Yes!!.
so, together they used
3 11/12 + (3 11/12 - 1 2/5) = 6 13/30 liters.
That left ? to go ...
To find out how much more water is needed to fill the tank, we first need to determine how much water Julian poured into the tank.
Stacey filled the tank with 3 11/12 liters of water, which is equivalent to (12/12 * 3) + 11/12 = 36/12 + 11/12 = 47/12 liters.
Now, let's find out how much Julian poured into the tank. Julian poured 1 2/5 liters less than Stacey, which is equivalent to (5/5 * 1) + 2/5 = 5/5 + 2/5 = 7/5 liters.
Therefore, Julian poured 47/12 - 7/5 = (47/12 * 5/5) - (7/5 * 12/12) = 235/60 - 84/60 = 151/60 liters.
To find out how much more water is still needed to fill the tank, we subtract the amount of water Julian poured from the total amount needed: 10 - 151/60.
Converting 10 to have the same denominator as 151/60, we have: 10 = (10 * 60/60) = 600/60.
Substituting in the equation, we have: 600/60 - 151/60 = (600 - 151)/60 = 449/60 liters.
Therefore, there are still 449/60 liters of water needed to fill the tank.
To find out how much more water is needed to fill the tank, we need to first calculate the total amount of water already filled by Stacey and Julian. Then we can subtract this amount from the total capacity of the tank.
Stacey filled the tank with 3 11/12 liters of water, which can be written as an improper fraction: 11/12 = 1 + 11/12 = 12/12 + 11/12 = 23/12.
Now we need to find out how much Julian poured into the tank. We know that Julian poured 1 2/5 liters less than Stacey. Let's convert this mixed number into an improper fraction: 2/5 = 5/5 - 2/5 = 3/5. So Julian poured 23/12 - 3/5 liters of water into the tank.
Let's now find a common denominator so that we can subtract the fractions: 12 and 5 have a common multiple of 60.
Converting the fractions to have a denominator of 60:
23/12 = 23/12 * 5/5 = 115/60
3/5 = 3/5 * 12/12 = 36/60
Now we can subtract the fractions to find the total amount of water already in the tank:
115/60 - 36/60 = 79/60 liters
To find out how much more water is needed to fill the tank, we subtract the amount already filled from the total capacity of the tank, which is 10 liters:
10 - 79/60
To subtract these fractions, we need to find a common denominator, which is 60.
Rewriting 10 as a fraction with a denominator of 60: 10 = 10/1 * 60/60 = 600/60
Now subtracting the fractions:
600/60 - 79/60 = 521/60
So, there are 521/60 liters of water still needed to fill the tank.