Weighted average - practice problems - last page

Number of problems found: 119

Hydrochloric acid
Determine the concentration of which must have a solution of hydrochloric acid that mixes 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%.
Acid solution concentration
Calculate the concentration of the solution prepared from 6 kg of 95% sulfuric acid solution and 24 kilograms of 10% sulfuric acid solution.
Contestants
In the competition, it was possible to get 0-5 points. Five of the 15 best contestants have earned 5 points or 4 points (which have won 10 contestants). The number of contestants who scored 3 points was the same as those who did not get any points. Calcul
Kilogram - unit price
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost?
Class
In the 7 C class, there are ten girls and 20 boys. Yesterday, 20% of girls and 50% of boys were absent. What percentage of students were absent?
Store
The company has three industrial goods stores. The following data are available: Store; Sales September; Sales October; Price September CZK/pcs; Price October CZK/pcs A; 1500; 1800; 39; 40 B; 700; 721; 36; 35 C; 300; 279; 34; 35 Total; 2500; 2800; X; X De
Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the
Average points
Fifty students took a math test. The average number of points was 68. The top 10 students scored 100 points. What is the average number of points for the remaining 40 students?
Float boya
A spherical float with a diameter of 0.5 m marks the location of a fishing boat's anchor. It floats in salt water. Find the depth to which the float sinks if the material it is made of has a density of 8 kg/m³ and salt water has a density of 1,027 kg/m³.
Inscribed circle
Write the equation of the inscribed circle of triangle KLM if K[2, 1], L[6, 4], M[6, 1].
Bicycle sales
A buyer for a department store estimates that the number of mountain bicycles sold during the summer season will range between 40 and 90 with the distribution - number of bicycles sold - 40, 50, 60, 70, 80, 90 with the probability of sale - 0.05, 0.15, 0.
Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar?
Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture?
Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A₁ [-17; 10; 9] m₁ = 23 kg A₂ [-16; -19; 0] m₂ = 31 kg A₃ [4; -14
Certificate
There are 21 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 1.0952. How many students have a score of one, and how many have a score of 2?
Water
Mix 58 l of water with a temperature of 81 °C, 10 l warm of 54 °C, and 41 l water of 67 °C. What is the temperature of the mixed water immediately after mixing?
Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get?
Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be?
Daily average
Calculate the average temperature during the day if the temperature was 24 °C for 14 hours and 14 °C for 10 hours.

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