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. Percent
    percentage_2 Calculate how many % is the number 26.25 less than the number 105.
  2. The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  3. Percents - easy
    percents_5 How many percent is 432 out of 434?
  4. Sales off
    up_to_30 Goods is worth € 70 and the price of goods fell two weeks in a row by 10%. How many % decreased overall?
  5. Butter fat
    butter A quarter of kg butter contains 82% fat. How many grams of fat are in four cubes of butter?
  6. Assistant
    psaci-stroj Assistant rewrote 15% of the entire manuscript in 12 hours. How many hours must still write to rewrite the rest of the manuscript?
  7. Cinema tickets
    listky Cinema sold 180 tickets this Thursday, which is 20%. Monday 14%, Tuesday 6%, Wednesday 9%, Friday 24%, Saturday 12%, and Sunday 15%. How many tickets were sold per week?
  8. Highway repair
    truck_6 The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
  9. Percents
    percents2_10 How many percents is 900 greater than the number 750?
  10. Alcohol mixing
    roztoky_1 How much 64% of the alcohol must be poured into 6 liters of 85% alcohol to produce 79% alcohol?
  11. Gloves
    rukavice I have a box with two hundred pieces of gloves in total, split into ten parcels of twenty pieces, and I sell three parcels. What percent of the total amount I sold?
  12. Percentages
    permutations_3_3 52 is what percent of 93?
  13. New refrigerator
    lednice New refrigerator sells for 1024 USD, Monday will be 25% discount. How much USD will save, and what will be the price?
  14. Iron
    250px-Iron_electrolytic_and_1cm3_cube Iron ore contains 57% iron. How much ore is needed to produce 20 tons of iron?
  15. Enrollment
    enrollment The enrollment at a local college increased 4% over last year's enrollment of 8548. Find the increase in enrollment (x1) and the current enrollment (x2).
  16. Reducing number
    123 Reducing the an unknown number by 28.5% we get number 243.1. Determine unknown number.
  17. Goods
    money To the market is introducing a new product, the first week is sold at a reduced price. 8 products is sell at an entry price same as 5 products at the normal price. How much % is reduced price less than the current price for this product?