Mass + system of equations - practice problems
Number of problems found: 202
- Two types of ore
A total of 42 tons of two types of ore is to be added into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tons of copper. - 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. - 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. - 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 - 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? - Fruits
(I) bought three apples, two oranges, four pears, and five bananas, which in total cost £3.73. (i) I bought twenty-one apples, no oranges, eight pears, and fifteen bananas, which in total cost £7.57. (i) I bought one apple, eighteen oranges, fourteen pear - 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.
- Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg? - Double the number of apples
Adam and Bonifác were picking apples. Together they picked 77 kg of apples. How much did each of them collect when Adam collected 5 kg more than twice what Bonifác collected? - 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? - Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed? - 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? - 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 - Apples 83295
The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples? - Purchased 82877 Mrs. Havelková bought 7 kg of apples and 4 kg of pears for CZK 295. According to the receipt, she found out that 6 kg of apples and 5 kg of pears could be bought at the same cost. Determine the price of 1 kg of purchased apples and 1 kg of purchased pears
- Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter - Harvested 82570
Farmers on Mr. Dvořák's farm sowed 3.5 tons of feed mixture seeds after the harvested wheat. This seed was blended from oats and vetiver. We know that 1t of this seed was worth 2840 CZK, 1t of oats 3000 CZK, and 1t of vetiver 2800 CZK. From how many tons - Weighs 81511
2 hens weigh 1kg more than a goose. 3 hens weigh 1kg more than 2 geese. How much do one hen and one goose weigh? When every goose weighs the same, and every hen weighs the same. - Kilograms 81234 The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel
- Agricultural Last year, the Agro agricultural company sowed wheat on land with a total area of 29 ha and rye on land with a total area of 18 ha. From all these lands, it harvested a total of 137.4 tons of grain. The sum of the average yields per hectare of wheat a
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