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 0.5838.5=583856.8588=6.86%x_{ 1 } = 3.5 \cdot \ \dfrac{ 5.8 }{ 100 } + 5 \cdot \ \dfrac{ 7.6 }{ 100 } = \dfrac{ 583 }{ 1000 } = 0.583 \ l \ \\ V = 3.5 + 5 = 8.5 \ l \ \\ \ \\ x = 100 \cdot \ \dfrac{ x_{ 1 } }{ V } = 100 \cdot \ \dfrac{ 0.583 }{ 8.5 } = \dfrac{ 583 }{ 85 } \doteq 6.8588 = 6.86 \%







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









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. Butter fat
    butter A quarter of kg butter contains 82% fat. How many grams of fat are in four cubes of butter?
  2. Water in vegetables
    rajciny Tomatoes in the store contain 99% water. After being transported to the shop, they were slightly dried and contained only 98% of water. How many kgs of tomatoes are in the store if there were 300 kg in stock?`
  3. Blood
    krv In human body the blood is about 7.3% body weight. How many kilograms of blood is in the human body with weight 109 kg?
  4. Orlík hydroelectric plant
    1280px-Orlík_1 The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m3/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p
  5. Camel and water
    tava 84% of the camel's weight is water. After drinking, its weight increased to 832 kg and water accounted for 85% of its weight. How much did it weigh before drinking?
  6. Sea on the Moon
    ship_on_moon Assume that the Moon has sea, the same composition as on the Earth (has same density of salt water). Calculate dive of boat floating in the sea on the Moon, when on Earth has dive 3.6 m. Consider that the Moon has 6.5-times smaller gravitational accelerati
  7. Car
    motor_cylinders_kW At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
  8. Flywheel
    zotrvacnik Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
  9. Shot
    wood_projectile Shot with a mass 43 g flying at 256 m/s penetrates into the wood to a depth 25 cm. What is the average force of resistance of wood?
  10. Hydrostatic force
    water3_5 What hydrostatic force is applied to an area of 30 cm2 in water at a depth of 20 m? (Water density is 1000 kg/m3)
  11. Forces on earth directions
    compass2_1 A force of 60 N [North] and 80 N [East] is exerted on an object wigth 10 kg. What is the acceleration of the object?
  12. A car
    car_31 A car weighing 1.05 tonnes driving at the maximum allowed speed in the village (50 km/h) hit a solid concrete bulkhead. Calculate height it would have to fall on the concrete surface to make the impact intensity the same as in the first case!
  13. Accelerated motion - mechanics
    dodavka The delivery truck with a total weight of 3.6 t accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration?
  14. The fruit basket
    jablka The fruit basket is five times heavier than the empty basket. Filled is 20kg heavier than empty. Determine the weight of the fruit in the basket.
  15. Brick weight
    brick The brick weighs 2 kg and a half bricks. How much does one brick weigh?
  16. Beer
    piva After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
  17. Coffee
    coffe In stock are three kinds of branded coffee prices: I. kind......248 Kč/kg II. kind......134 Kč/kg III. kind.....270 Kč/kg Mixing these three species in the ratio 10:7:7 create a mixture. What will be the price of 1100 grams of this mixture?