Equation + mass - practice problems
Number of problems found: 275
- Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.
- Drying fruit
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
- Consumption stable
If the price of sugar rises from Rs 6/kg to Rs 7.50/kg. A person having no increase in his expenditure on sugar, will have to reduce his consumption by?
- A reduction
A 40% reduction in the price of mango would enable a buyer to get 2 kg more for Rs 90. Find the initial/original price of mango per kg.
- The rice 2
60 kg of a certain variety of rice at Rs 32 per kg is mixed with 48 kg of another variety of rice, and the mixture is sold at the average price of Rs 28 per kg. If there is no profit or loss due to the new sale price, then find the price of the second var
- Two containers 2
Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on
- Exp decay
An element with a mass of 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?
- A barrel
A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh?
- Peter 17
Peter ate 9 ounces of chocolate cake which was 75% of the entire cake. Which expression can be used to find the size of the full cake?
- Small and large bread
Kipton's aunt bakes a large loaf of bread and a small loaf of bread. She cuts each loaf into tenths and gives Kipton 2 tenths of each loaf to take home. Kipton writes the equation 2/10 + 2/10 = 4/10 to show the amount of bread he takes home. Explain Kipto
- Salt water
The ratio of water (in liters) to salt (in grams) needs to be 3 to 2. If we add 10 grams of salt, how much water do we need to add?
- Gustavo
Gustavo is conducting an experiment with plants for a science project. He needs to divide a certain amount of fertilizer so that each of the 12 plants gets 10.5 ounces of fertilizer. Use the guess, check, and revise strategy to solve the equation f÷12=10.
- The masses
The masses of a mother and a daughter differ by 30kg and are in the ratio of 8:5. Find the mass of each.
- Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need?
- Quarter 84177
We used one-quarter of the coal we bought, leaving us with 12 q. How much coal did we buy?
- Plums 83656
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried?
- Harvest 83600
Martin brought twice as much harvest as Tomáš and Filip, 15 kg more than Martin. They got a total of 65 kg of harvest. How much did each person bring?
- Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams.
- Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th
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