The total amount of water in 2 containers is 35quarts. If 7 quarts gets poured from the container with less water into the continer with more water, the container with more water will have 4times as much water as the other container. How many quarts are in the container with less water?
Is the question asking how much does the container with less hadafter they took away the 7 quarts or before they took the 7 quarts please answer I need to check if I wa right on a test
container with less water = x quarts
container with more water = y quarts
x + y = 35 or y = 35-x
after pouring:
container with less water = x-7
container with more water = y +7
y+7 = 4(x-7)
35-x + 7 = 4x - 28
-5x = -70
x = 14
the container with less water had 14 quarts
check:
original:
smaller --- 14
larger ----- 35-14 = 21
out-pouring:
smaller -- 7
larger -- 28
Is 28 4 times as much as 7 ?? , YES
Let's assume the amount of water in the container with less water is x quarts.
According to the problem, the total amount of water in the two containers is 35 quarts.
Therefore, the amount of water in the container with more water would be 35 - x quarts.
If 7 quarts get poured from the container with less water into the container with more water, the container with more water will have 4 times as much water as the other container.
So, we can write the equation:
35 - x + 7 = 4x
Now, let's solve for x:
35 + 7 = 4x + x
42 = 5x
Dividing both sides by 5:
x = 42/5
Therefore, the container with less water has approximately 8.4 quarts of water.
To find out how many quarts are in the container with less water, let's represent the amount of water in the container with less water as "x" quarts.
According to the problem, the total amount of water in the two containers is 35 quarts. So, the amount of water in the container with more water is (35 - x) quarts.
Next, it's mentioned that if 7 quarts get poured from the container with less water into the container with more water, the container with more water will have 4 times as much water as the other container. In other words, the amount of water in the container with more water will be 4 times the amount in the container with less water.
Mathematically, we can write this as an equation:
(35 - x) = 4x
To solve this equation, we can simplify and solve for x:
35 = 5x
Dividing both sides by 5:
x = 7
Therefore, the container with less water initially contains 7 quarts.