Mass + system of equations - practice problems
Number of problems found: 188
- 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. - 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 - 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 - Transported 80813
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take? - Strawberries 80646
Mom and grandma went shopping at the market. Mom bought 2 kg of strawberries and 3 liters of blueberries and paid 250 CZK. Grandma bought 1 kg more strawberries and 0.5 l fewer blueberries than mom and paid 45 CZK more than her. How much did 1 kg of straw - Participated 80621
Three 9th-grade classes participated in the paper collection competition. The company bought 1 kilogram of paper for €0.12, and the school received €174 thanks to their hard work. Calculate how many kg of paper 9A collected if you know that she collected - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - Pre-stocking 74604
They delivered potatoes, cabbage, and carrots to the vegetable shop for winter pre-stocking. 2/7 of the total amount is carrots, 1/3 is cabbage, and the rest is potatoes. Carrots are 10 kg less than cabbage. How many kilograms of potatoes do they have in - Rocks 2
A garden center has one type of rock that sells for $6.50 per cubic yard and another type of rock that sells for $12.80 per cubic yard. They want to make 25.2 cubic yards of a mixture of rock that sells for $12.40/cubic yard. How much of each rock will th - A coffee
A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. Gourmet coffee usually sells for R420,00 per kilogram, while the cheaper brand sells for R180,00 per kilogram. How much of each type should be mixed to have 30 kilograms of coffee - Coffee 6
Coffee worth $1.05 per pound is mixed with coffee worth 85 cents per pound to obtain 20 pounds of a mixture worth 90 cents per pound. How many pounds of each type is used? - Kilograms 71754
In the fruit warehouse, they have white grapes for CZK 70 per kilogram and blue grapes for CZK 90 per kilogram. For the retail chain, 600 kg of a mixture of both types must be prepared so that one kilogram of the mixture costs CZK 85. How many kilograms o - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y.
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