Percentages + system of equations - practice problems - page 9 of 11
Number of problems found: 211
- Programmers 3247
The three programmers received a reward of 21,000 euros for their joint work. They received the money according to the work done. The first got 20% less than the second, and the third got 50% more than the first. How much did each of them receive? - Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company? - Circumference 3160
In an isosceles triangle, the base length is 75% of the arm's length. Calculate the area of the triangle if the circumference is 22 cm. - Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?
- Concentration
How many grams of 65% and 50% acid is to be mixed to give 240 g of acid with a concentration of 60%? - Difference 3101
The difference between the two numbers is 4/3. Specify both numbers if you know that the first number is 50% larger than the second number. - Numbers 3090
The sum of the two numbers is 52.5. The first number makes up 75% of the second number. Specify both numbers. - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture? - Three piles
100 kg of sugar we divide into three piles. The first pile is small. If we added to the second 2 kg of sugar, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the 2nd pile. How
- Numbers 2832
The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers. - Afforestation 2777
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted during each day? - Distinction 2759
There are 500 pupils in the school. At the end of the school year, the principal announced that 20% of the students had received the award. At the same time, 18% of boys and 23% of girls achieved the distinction. Determine how many boys and how many girls - Inspected 2607
The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day? - Construction 2449
The construction material was taken away by three different large cars. The weight of the load on the second was 20% more than on the first. The weight on the third was 20% more than on the second. They loaded a total of 18.2 tons. How many tons were on e
- Commuters 2428
A total of 750 pupils attend the school. 20% of students are commuters. 18% of pupils commute in the first grade and 23% in the second grade. How many first graders does the school have? - Rectangle
The width of the rectangle is 65% of its length. The perimeter of the rectangle is 132 cm. Determine the dimensions of the rectangle. - Addends
Number 118 divide into two addends, so the first addend is 69 greater than 75% of the second addend. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of a length and length reduce by 14% of the width, it will increase the property perimeter by 13 meters. How much will the property co - Alcohol mixing
How much 55% alcohol must we pour into 1500 g 80% alcohol to form a 60% alcohol? How much is 60% alcohol created?
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