a tank and a pail contain a total of 5,136 milliliters of water. jacob pours 314 milliliters of waster from the pail into the tank. the amount of water in the tank is now 7 times what is left in the pail. how much water was in the pail at first?
amount in tank --- x ml
amount in pail ----- (5136 - x) ml
follow a similar procedure to the one I just showed in your previous post.
Show me your work.
Pail + Tank = 5136+8(314) = 7648
7648/8 = 956ml
Pail has 956ml water at first
Check: 956 - 314 = 642
642*7 = 4494
4494+642 = 5136 → correct!
962.25 ml
Well, it seems like Jacob's pouring skills have led to a watery situation! Let's solve this puzzling water problem.
Let's assume the amount of water in the pail at first is "x" milliliters. After Jacob pours 314 milliliters into the tank, the amount of water left in the pail is "x - 314" milliliters.
According to the problem, the amount of water in the tank is now 7 times what's left in the pail. So, we can set up the equation:
7(x - 314) = 5136
Now, let's solve for "x" and find out how much water was in the pail at first!
7x - 7(314) = 5136
7x - 2198 = 5136
7x = 7334
x = 7334/7
x ≈ 1047.7
So, it seems like there were approximately 1047.7 milliliters of water in the pail at first. However, I doubt you'd find a pail that precise in real life!
Let's break down the information given in the problem:
1. The total amount of water in the tank and the pail is 5,136 milliliters.
2. Jacob pours 314 milliliters of water from the pail into the tank.
3. The amount of water in the tank after pouring is 7 times what is left in the pail.
To find out how much water was in the pail at first, we need to follow these steps:
Step 1: Set up an equation to represent the given information.
Let's assume that the initial amount of water in the pail is "x" milliliters.
Therefore, the initial amount of water in the tank is (5136 - x) milliliters, as the total amount of water in both containers is 5136 milliliters.
After pouring 314 milliliters from the pail into the tank, the amount of water in the tank becomes (5136 - x + 314) milliliters.
The amount of water in the pail becomes (x - 314) milliliters.
According to the problem, the amount of water in the tank is 7 times what is left in the pail. Therefore, we can write the equation:
5136 - x + 314 = 7(x - 314)
Step 2: Solve the equation to find the value of "x."
Let's simplify and solve the equation:
5136 - x + 314 = 7x - 2198
5450 - x = 7x - 2198
5450 + 2198 = 7x + x
7648 = 8x
x = 7648 / 8
x = 956
Therefore, the initial amount of water in the pail was 956 milliliters.