Percentages + system of equations - practice problems - page 10 of 13
Number of problems found: 243
- Two numbers
The sum of the two numbers is 48. 12.5% of the first number equals exactly 4. Find both of these numbers. - Money distribution
Dennis has 43% more money than Damian, and Zuzana has 12% less money than Damian. They have a total of 165 euros and 50 cents. Determine how much money Dennis, Damian, and Zuzana have. - Money distribution
Dano and Juraj have a total of 120 euros. Juraj has 40% less money than Daniel. Determine how much money Daniel and Juraj have. - Sum of three numbers
The sum of three numbers from which the second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine these numbers. - Reward
Three workers shared a common reward of 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much does each worker earn? - Solving tasks
a/ When we cut each carrot into sixths, there will be 24 pieces more in the soup than when we cut it into quarters. How many carrots do we cut? b/ In an orchard there were 46 more apple trees than pear trees. A storm uprooted a quarter of the apple trees - Flour amount
On the first day, a bakery used one third of their flour. On the second day, they used 75% of the remaining flour. On the third day, 120 kg of flour remained. How much flour did they have at the beginning? - Football tickets
In two days, they sold 12,600 tickets for the football match. They sold 80% of what they did the next day on the first day. How many tickets were sold on the first day, and how many on the second day? - Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution? - Number identification
The sum of the two numbers is 110. The first number is 900% of the second number. Identify both of these numbers. - Programmer reward
Three programmers received a joint reward of €21,000. The money was divided according to their work contributions. The first received 20% less than the second, and the third received 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? - Triangle area
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle. - Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than George and Hannah, 10% less than Peter. How much money did they save for each one of them? - Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%? - Number difference
The difference between the two numbers is 4/3. If you know that the first number is 50% larger than the second number, specify both numbers. - Two numbers sum
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
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, 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 second pile. How - Two numbers
The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers.
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