Percentages + system of equations - practice problems - page 8 of 13
Number of problems found: 243
- Employees
The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% for all men and 22.5% for all women. They rewarded 20% of employees with bonuses. How many men and how many women are employed in the company? - Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - Savings distribution
Petr had 20% more savings than Jana, who saved half of what Markéta did. Together they saved CZK 2,520. How much CZK did each of them save? - Container sand weight
A metal container with sand weighs 1.4 tons. If we remove part of the sand, then the rest of the sand, which is 24% of the original amount, together with the metal container, weighs 1.1 tons. a) What is the weight of the container? b) How many tons of san - Tree planting
In the forest nursery, children planted new trees for 3 days. They planted a total of 84. On the second day, they planted 75% of what they did on the third day. On the first day, they planted exactly one-third of all planted trees. How many trees did the - Necklace cost
For the opening ball of the season, the president's wife bought a necklace with a bracelet for 768 euros. How much did the necklace cost, and how much did the bracelet cost if the bracelet was 40% off a) cheaper, b) more expensive than the necklace? - Dividing Money Among Children A family has 5,000 € to divide between their two children aged 10 and 14. They will open an account for each child at the same bank, compounded quarterly at a fixed annual interest rate of 2.75%. Determine how the family must split the available sum betwe
- Flower Garden Planting Count
The gardeners planted 1,100 flowers. Pansy is 280 less than tulips, and daffodils are 40 more than pansies. a) how many flowers did they plant? b) of the planted flowers, 5% of tulips and 2% of daffodils dried up. How many flowers continued to grow? - Boys and Girls in Class
The class has 24 pupils, with 40% fewer boys than girls. How many boys and girls are in the class? - Vehicle speed
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going? - Four Proportional Numbers
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum is 396. What are the numbers? - Grain harvest
The farmer harvested 300 tons of grain, of which 18 tons were barley, wheat was 250% more than oats, and rye was 40% more than wheat. How many tons of individual grains did he harvest? - Wheat Barley Caliber Harvest Tons They harvested 390 tons. Wheat is 18% more than barley and 126 tons less caliber than wheat and barley combined. How many tons of barley, wheat, and caliber were there?
- Theatre performances
A total of 15,744 CZK was collected in admission fees for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance, and the revenue from the third performance was 10% lower than the rev - Vacation ticket
Helen and Marta want to go on vacation together. Helen lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Helen. How much does a ticket cost? - Tracksuit savings The tracksuit became cheaper by 15% later on sale and later by 10%. How many euros did Jane save if she bought this set after the second discount and paid € 45.9?
- Part-timer payment
Three part-timers have a total of CZK 2,850. The first received 20% less than the second part-timer, and the third part-timer received CZK 50 more than the second part-timer. How much CZK did the first, second, and third part-timers get? - Number increase The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number.
- Event comparison
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all - Rectangle sides
The rectangle's width is 20 percent shorter than its length. Its perimeter is 22 cm. What are the dimensions of the rectangle?
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