Equations practice problems - page 178 of 236
Number of problems found: 4716
- King's birthday
To celebrate the king's birthday, workers fire 1/5 all purchased rockets. To celebrate the Queen's birthday, fire 1/6 of the remaining rockets, and to celebrate the birthday of the king's son, the remaining 15,000 rockets. How many rockets did they purcha - Summands 4213
Divide the number 28 into two summands so that their product is maximal. - Manufacturer 4212 How many electronic scooters should the manufacturer sell to maximize their income if the income function is given by the equation TR (Q) = -4Q2 + 1280 Q + 350?
- Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares? - Apples
I picked 600 kg of apples this year. Autumn's apples were four times more plentiful than summer's. How many kilograms do I pick in the summer, and how many winter apples? - Equivalent 4205
They have their own money in the magical land, Fu, Ru, and Mu. Three Mu are equal to five Ru. Six Ru is equal to eighteen Fu. How many is Fu equivalent to one Mu? - Together 4204
Three bowls together have the same price as seven plates. Four bowls have the price of six cups. How many cups are as valuable as 28 plates?
- Equation: 4197
Solve the equation: (4096^x) · 8! = 161280 - 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 - Cows
The agricultural cooperative has increased the number of housed cows by 14% to 285 units. How many cows increased the agricultural cooperative number of cows? - Raw meat
The school cafeteria prepares 490 servings of 50 g of boiled meat for one lunch. Meat loses 30% of its weight by cooking. How many kilograms of raw meat must the school canteen prepare for this lunch to cook? - Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota will do the work herself and when Michal will do it himself. - Flowers
The flower has six flowers, and each flower has a number. These are the numbers: 20,40,39,28,8,9. What number will be in the middle of the flower so that the numbers come from the flowers when we subtract and add? - Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att - Remaining 4165
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers. - Potatoes
Daniela and Michael would jointly dig potatoes for 7.5 hours. But if Daniela was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how much for the work done by Michael himself and how much Daniela herself. - Together 4158
Daniela and Michal would dig potatoes together in 7.5 hours. But if Daniela worked alone, it would take her 2.5 hours more than Michal. Find how much Michal would do and how much Daniela would do the work himself. - Baskets of apples Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms
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