Fractions + expression of a variable from the formula - practice problems
Number of problems found: 310
- Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first - Boats
Three-quarters of boats are white, 1/7 are blue, and nine are red. How many boats do we have? - Environment 62874
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n - Twelve
Twelve students work on a week forestry brigade. One hundred spruces will receive x CZK, one hundred pine y CZK. How many receive each student in one day if they planted a total of 25,000 spruces per week and 30,000 pine trees? Express by expression. - Construction 82214
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Three chefs
Let's say you have 3 Chefs that have made 14 cakes in 8 hours. Assuming they are working at the same efficiency, how many hours does it take 10 Chefs to bake 24 cakes? (Rounded to the nearest hour) - Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth of damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard? - A car 3
A car rental agency advertised renting a car for 27.95 per day and 0.28 per mile. If Greg rents this car for two days, how many whole miles can he drive on a $100 budget? - Participating 83071
One hundred seventy-five school pupils signed up for the school trip. The ratio of boys to girls was 9: 16. In the end, 19 registered students did not come on the trip, so the ratio of the number of participating boys and girls was 9: 17. How many boys an - Athletics 24911
The sports class is attended by athletes, cyclists, and football players. The number of athletes to cyclists is in the ratio 3:5, football players to cyclists 1:3. How many athletes attend the class if 9 children are involved in athletics? - Three-sevenths 16643
Mom baked pancakes and put them on a plate. After Mišo had eaten three-sevenths of them, his brother Peťo came and took three-quarters of the pancakes from the plate. In the end, Jana finished the remaining 7 pancakes. How many pancakes did mom bake? - Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Evaluate statement
Which is a correct statement about the description "two less than the quotient of a number cubed and sixteen, increased by eight" when n = 4? Choices: The value when n = 4 is 6. The value when n = 4 is 7. The value when n = 4 is 9. The value when n = 4 is - The floor
The floor collapsed because three and a half times the amount it had been designed to hold had been stored in the room. If we had stored 980 tons in the room, what amount was the floor designed to hold? - Cheese consumption
I have some cheese. I used 2/5 of the total amount of cheese yesterday. Today, I used 2/5 of the remaining cheese from yesterday. If 900 g of cheese remains at the end of today, how many grams of cheese did I have initially? - Combined 22681
The farm keeps cows, horses, and sheep. There are 37 cows, which is 25 more than the sheep. There are seven times fewer horses than cows and sheep combined. How many animals do they keep on the farm together? - Three-quarters 5746
Ondra found that three-quarters of a bag of washing powder was used up in their family in 12 weeks. How many more weeks will they last? How long does a whole bag of washing powder last? - Increased 81943
The mobile was increased by a quarter of the original price and then again by a quarter of the new price. How much did the mobile cost if its final price was 125 euros? - Secondary 7394
P girls and four times as many boys applied to a certain school. After the entrance exams, a quarter of the girls and half of the boys got into secondary school. How many students were accepted into the 1st year of this high school? - Calculate 83068
The internal volume of the barrel is 15 times greater than the bucket's volume. The volume of the bucket is 5 times the volume of the kettle. We took a third of the water from a barrel, leaving 60 liters in it. Calculate the volume of the kettle in liters
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