Vinegar 2

How many percentage of getvinegar solution, if we mix to 3.5 liters of 5.8% and 5 liters of 7.6% vinegar?

Result

x =  6.86 %

Solution:

x1=3.5 5.8100+5 7.6100=5831000=0.583 l V=3.5+5=8.5 l  x=100 x1V=100 0.5838.5583856.85886.86%x_{1}=3.5 \cdot \ \dfrac{ 5.8 }{ 100 } + 5 \cdot \ \dfrac{ 7.6 }{ 100 }=\dfrac{ 583 }{ 1000 }=0.583 \ \text{l} \ \\ V=3.5 + 5=8.5 \ \text{l} \ \\ \ \\ x=100 \cdot \ \dfrac{ x_{1} }{ V }=100 \cdot \ \dfrac{ 0.583 }{ 8.5 } \doteq \dfrac{ 583 }{ 85 } \doteq 6.8588 \doteq 6.86 \%



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Nestor
Solution is wrong.
x=[12(4.3) + 1(3.7)]/ (12+1)=4.25%

#
Math student
@Nestor the answer is correct. I figured another solution is just to average the concentrations of the solutions as the volume is same.

avatar









Tips to related online calculators
Looking for a statistical calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Tip: Our Density units converter will help you with the conversion of density units.

Next similar math problems:

  1. Cone roof
    kuzel2 How many m2 of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays.
  2. Christmas holidays
    christmas How many percent take Christmas holidays lasting 18 days from a school year that lasts 303 days? Round the result to two decimal places
  3. Chestnuts
    vaha Three divisions of nature protectors participated in the collection of chestnut trees.1. the division harvested 1250 kg, the 2nd division by a fifth more than the 1st division and the 3rd division by a sixth more than the second division. How many tons of
  4. Water percent
    huby A 15 g sample of the substance contains 70% water. After drying, the weight was reduced to 9 g. What percentage of water is now in the sample?
  5. What is
    exp_growth2 What is the annual percentage increase in the city when the population has tripled in 20 years?
  6. Price reduction
    mince The product is sold for 360 CZK and the sales profit is 30%. By what percentage the sales profit will be reduced if I reduce the price of the product by 10%?
  7. All use computer
    workers It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 women use a computer in their jobs.
  8. Birthday paradox
    holland How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
  9. Slow saving in banks
    penize_5 How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest?
  10. The number 72
    percent_2 The number 72 increase by 25%. By how much % will you have to reduce the number you created to get the number 72 again?
  11. Double price reduction
    tv The price of TV has been reduced twice. First by 15% and later by another 10% of the reduced price. After this double price reduction, the TV was sold for 8,874 crowns. What was the original price of the TV?
  12. The manufacturer
    cd_disc The manufacturer found that 3% of the plates produced had a malfunction. Of the compliant, 75% are first and 25% second. What is the probability of producing first and second class plates?
  13. Probability
    fractions_1 How probable is a randomly selected three-digit number divisible by five or seven?
  14. Cllub flag
    flg The children had the club flag sewn on. The red color covered 2/20 of the total area of the flag, the blue area a fifth, the yellow 19% of the total area. What% is the green area occupied?
  15. The test
    test The test contains four questions, and there are five different answers to each of them, of which only one is correct, the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answer
  16. Rectangular land
    domcek On a rectangular land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied?
  17. Contestants
    penize_2 The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?