Mixing water

We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of water 80 degrees C hot, and how many liters of water 20 degrees Celsius warm we have to mix?

Correct answer:

a =  20
b =  10

Step-by-step explanation:

a+b = 30
80a + 20b = 60•(a+b)

a+b = 30
80•a + 20•b = 60•(a+b)

a+b = 30
20a-40b = 0

a = 20
b = 10

Our linear equations calculator calculates it.

Try another example

Related math problems and questions:

• Water mixing
  We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C?
• There
  There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water?
• Petra
  Petra likes to bathe in a bathtub with a water temperature of 38 degrees. She turned on the hot water set at 70 degrees and left for a moment. Before she returned, 40 liters of water flowed into the tub. How much water with a temperature of 22 degrees mus
• Milk mixing
  You have 12 liters of milk with a temperature of 20°C. How much milk at 80°C do you have to add to have milk at 30°C?
• Water temperatures
  To 25 liters of water at 50 °C we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature 42.5 °C?
• Water
  Mix 68 l of water with a temperature of 87 °C, 17 l warm of 42 °C, and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
• The bath
  The bath has water with a volume of 220 l and a temperature of 65°C. Determine the mass m₂ of water at 15°C to be poured so that the resulting temperature of the water in the bath is 40°C. We neglect the heat exchange between water and the environment. T
• The bath
  Dad poured 50 liters of water at 60°C into the tub. How much cold water must be added at 10°C to obtain a bath that has a temperature of 40°C?
• Water mixing
  There are 5 liters of water at 75°C in the pot, how much water at 10°C do we have to add to the resulting temperature of 55°C?
• Bath
  In the bath is 30 liters of hot water. Then added 36 liters of cold water at temperature of 19 °C decreased temperature of water to 41 °C. What was the initial temperature of the hot water?
• The pool
  The pool has a volume of 40 m³, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C?
• The aluminum
  The aluminum object with a weight of 0.80 kg and a temperature of 250°C was placed in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only be
• Latent heat
  How much heat is needed to take from 100 g of water at 20°C to cool to ice at -18°C? Mass heat capacity c (ice) = 21kJ/kg / °C; c (water) = 4.19 KJ/kg / °C and the mass group heat of solidification of water is l = 334kJ/kg
• The tub
  If we drop the 5 l from the first tap and the from second 2 liters of water, the water in the tub will have a temperature of 25°C. If we drop 3 l from the first tap and from second 4 l of water, the water in the tub will have a temperature of 21°C. Determ
• 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?
• Heat transfer
  We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead o
• Exponential warm
  Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt) . If jello salad with 30 degree