Alcohol mixture

From 55% and 80% alcohol, we have to produce 0.2 kg of 60% alcohol. How many of them do we use in the solution?

Correct answer:

a =  0.16
b =  0.04

Step-by-step explanation:


0.55a +0.80b = 0.60•0.20
a+b=0.2

0.55•a +0.80•b = 0.60•0.20
a+b=0.2

0.55a+0.8b = 0.12
a+b = 0.2

a = 4/25 = 0.16
b = 1/25 = 0.04

Our linear equations calculator calculates it.



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?

Related math problems and questions:

  • Spirit
    lieh From 55% and 80% spirit we would like to produce 0.2 kg of 60% spirit. How many of them we must use in a solution?
  • Alcohol solutions
    roztoky We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution?
  • Alcohol mixing
    lieh How much 55% alcohol we must pour into 1500 g 80% alcohol to form a 60% alcohol? How much 60% alcohol created?
  • Alcohol mixing
    roztoky How much 64% of the alcohol must be poured into 6 liters of 85% alcohol to produce 79% alcohol?
  • Solution
    chemia 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 2
    alko Two types of alcohol one 63% and second 75% give 20 liters of 69% alcohol. How many liters of each type are in the mixture?
  • Copper sulphate
    CuSO4crystal How much g of water do we have to add to 240 g of an 84% CuSO4 solution to produce a 60% solution? (Express the mass of crystalline CuSO4 in the original solution and in the resulting solution and compare them. )
  • Alcohol
    no_alcohol How many 55% alcohol we need to pour into 14 liters 75% alcohol to get p3% alcohol? How many 65% alcohol we get?
  • CuSO4 mixture
    chemia How many grams of solid CuSO4 we have to add to 450g of 15% CuSO4 solution to produce a 25% solution?
  • Sea water
    sea Mixing 62 kg of sea water with 84 kg rainwater is created water containing 3.1% salt. How many percent sea water contains salt?
  • Alcohol
    chemia 6l 48% alcohol, how much 52% alcohol must be added to give 50% alcohol?
  • Solutions
    bilde How much 60% solution and how much 35% solution is needed to create 100 l of 40% solution?
  • Concentration
    hcl How many grams of 65% and 50% acid is to be mixed to give 240 g acid with a concentration of 60%?
  • Coffee
    arabica_robusta Coffee merchant has coffee robusta and arabica species. 1 kg Robusta worth 450 CZK, Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture cost is 490 CZK p
  • Coffee
    cofee One kilogram of cheaper coffee costs CZK 150, one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)?
  • Acid evaporation
    roztoky How many kilograms of water do we have to evaporate from 100 kg of 32% acid to make it 80% concentration?
  • Grams
    chemia How many grams of 5% solution do we need to add to 100g of 50% solution to get a 20% solution?