Percentages + system of equations - practice problems - page 9 of 13
Number of problems found: 243
- Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Two workers
Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce? - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the - Dividing money
Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek is 20% less than Thomas. How many CZK does each get? - Employees and bonuses Of the total number of men, 16% received a bonus, of the total. The number of women received 21%. The company has 1,500 employees, and 18% were awarded bonuses. How many women work in the company? How many men received bonuses? How many company employees
- Electricity consumption cost
Last year, Carol's family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How much CZK was electricity last year, and how many two years ago? - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Production schedules
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - Comparing salaries
Spouses compared salaries. Mrs. Jane found a 20% higher salary than Mr. Jerry. Together they earned € 1,430. How much do they earn each of them? - Couple income Husband and wife earn 6600 euros together. The husband earns 20% more than the wife. What is the wife's income?
- Rectangle perimeter The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132 dm.
- Alcohol mixing
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made? - Concentration - salt solution We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- Container weight
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union - Alcohol preparation
We want to prepare 200 g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Collection weight
Thomas brought the collection 20 percent less than Michael. Philip brought half of what Tomas did. Together, they brought 52.8 kg. How much did he bring? - Price saleoff
Shoes cost y euros. They were first discounted by 12% and then 50% of the new amount. After this double discount, the cost was exactly 22 euros. Determine the original price of the shoes. - School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school? - Nut distribution
Alena, Andrej, and Juraj have a total of 74 nuts. Alena has 45% more nuts than Andrej, and Juraj has 5 more nuts than Andrej. Determine how many nuts Alena, Juraj, and Andrej have.
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