Water tanks

A different amount of water is poured into each of the three identical vessels. In the first vessel, water fills 30% of its volume and in the second vessel 40% of its volume. The third container contains 19 liters of water. If we distributed the water from all the vessels equally, the water in each vessel would fill two-fifths of its volume.

What is the volume of one container?

Correct result:

x =  38 l

Solution:

0.30x + 0.40x+19 = 2/5•3•x

0.30•x + 0.40•x+19 = 2/5•3•x

2.5x = 95

x = 38

Our simple equation calculator calculates it.

Try another example

Showing 0 comments:

Next similar math problems:

• Water container
  The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container?
• Three piles
  100 kg of sugar we divide into three piles. The first pile is small. If we added to second 2 kg of sugar it would have 25% more sugar than the first pile. If we added to third pile 3 kg of sugar it would have 20% more sugar than the 2nd pile. How many kil
• Milk
  There were 22 liters of milk in three containers. There was 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third container.
• Pharmacy
  At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of 48-percent solution. What amount of solution from each container is needed to mix?
• Pumps
  First pump flows 16 liters per second into the basin by the second pump 75% of the first and by third pump half more than the second. How long will take fill basin by all three pumps simultaneously volume 15 m³ (cubic meters)?
• Three pumps
  We are filling the pool. The first pump would be filled in 12 hours, the second pump in 15 hours. If all three pumps were running at the same time, it would fill the pool for 4 hours. How long would the pool fill only with the third pump?
• Inlet minus outlet
  Water flows into the tank through two pipes and flows out of the third pipe spontaneously. The pipe A itself would fill the tank in 3 hours, the pipe B itself would fille in 4 hours, and the pipe C itself would flow out in 12 hours. How long will the tank
• Coal storage
  The coal storage distribute received coal shipment within three days. The first day distribute third of the shipments, the second day of two-fifths of the rest and the third day 300 tons of coal. How many tons of coal distributed first and second day?
• Solution
  What amount of 80% solution and what amount of water is needed to mix in order to obtain two liters of 60% solution of this mixture?
• Alcohol mixture
  Three liters of 96 percent alcohol we set up a certain amount of distilled water to form a 54-percent alcohol. How many liters of distilled water were used?
• Barrel
  The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of its capacity. What is the volume of a barrel, if the volume of the bucket is 12 liters?
• Sugar - cuboid
  Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet
• Three groups
  In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary
• Volume and body diagonal
  Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?
• Three pumps together
  One pump fills the tank in 1.5 hours, the second in 2 hours, and the third in 3 hours 20 minutes. How many minutes will the tank fill with three pumps if they work simultaneously?
• Three tributaries
  It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fi
• Three workshops
  One workshop can complete the task in 48 days, the second in 30 days and the third in 20 days. In how many days would the task be completed if all workshops worked?