Percentages + system of equations - practice problems - page 7 of 13
Number of problems found: 243
- Diluting Alcohol to Percentage
We want to prepare 200 g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need? - Heating Liquid Graph Analysis
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600 W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the ta - Pupils
There are 32 pupils in the classroom, and there are two-thirds more girls than boys. a) How many percent are more girls than boys? Round the result to a whole percentage. b) How many boys are in the class? c) Find the ratio of boys and girls in the class. - Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls? - Tourist daily distance
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day? - Repairing
Three employees earned a total of € 469 for repairing the equipment. They split the money so that the first got 20% more than the second and the third 15% more than the second. Thus, everyone got a total of € 469. - Apartment rent difference
The apartment on the first floor has an annual rent of 10% higher than the same apartment on the second floor. The difference in the yearly rent is €105. What are the annual rent for the apartment on the first floor and the apartment on the second floor? - Girls in class There are 12 more than boys, and the boys represent 30% of all pupils in the class. Find how many girls are in the class.
- Tea Left in Kindergarten
The children in the kindergarten drank 20% of the prepared tea in the morning. They drank another 10% of the left tea afternoon. After the whole day, there were still 9 liters of tea left. How many liters of tea was prepared in the kindergarten in the mor - Number factor decomposition
The number 135 can be decomposed into the product of two factors, so one will be three greater than 40% of the other. What are these factors? - A man 2 A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually.
- They exceeded
Mines A and B were supposed to extract 20,000 tonnes of coal together. However, they exceeded their joint plan and extracted 133 tonnes more in total. Mine A exceeded its plan by 2 percent, while mine B extracted 1 percent less than its plan. How many ton - Stamps collection
Together, Peter and Jan had 52,000 stamps in their collection. To compete with their friend, they must have 56700 stamps. They agreed that Peter would increase his collection by 8 percent and Jan would give 10 percent more than he has. How many stamps did - Parking
At a building parking, 245 spaces are for cars, 56 are for vans, and the rest are for buses. If 14% of all parking spaces are for buses, how many parking spaces are there in the building? How many spaces are for buses? - Ticket Sales Three Days
The museum sold seven thousand tickets in 3 days. We know that the second day sold 20% more tickets than the first day, and Day 3 sold 10% less than Day 2. How many tickets were sold on each day? - Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o - Summer camp
Eighty-four children spent their holidays at the summer camp. There were eight fewer boys than girls. What percentage were boys, and what percentage were girls? - Three Classes in School
There are a total of 47 pupils in three classes in the rural school. There are 20% more pupils in the first grade than in the second grade and one pupil less in the third grade than in the second grade. How many students are there in each class? - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Class composition
A fifth-grade class has 25 pupils. 18% are boys and 23% are girls... [Note: problem appears inconsistent as 18% + 23% ≠ 100%; please check original data.] How many boys are in the class and how many girls?
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