System of equations + mass - practice problems
Number of problems found: 85
- Bottle, cup and jug
The bottle and the cup have the same weight as the jug. The bottle has the same weight as the cup and plate. Two jugs have the same weight as three plates. What is the weight of the bottle, if the weight of the cup is 100g.
- Six hens
Six hens weigh 3 kg more than three geese and 7 kg less than five geese. How much does a hen weigh, and how many geese?
One kilogram of cheaper coffee costs CZK 150, one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)?
- Duo mix
In one kilogram of meat of two colors is 650 g of pork, the rest is chicken. One kilogram of pork is 40 CZK more expensive than a kilogram of chicken. How many CZK cost one kilogram of chicken meat so that the price of one kilogram of meat of two colors i
- Bananas and mango
5 kg of bananas and three kilograms of mango cost 146 CZK, two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes?
- Mixture of coffee
They have to prepare a mixture of coffee in packing centres so that 1 kg costs 240 CZK. There are two types of coffee in stock at the price of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of t
- The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
- Two teas
A mixture weighing 10 kg was made from two types of tea. The price of tea was 160 CZK/kg and second tea 170 CZK/kg. The price of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed?
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money?
- A bottle
A bottle full of cola weighs 1,320 g. If we drink three-tenths of it, it will weigh 1,008g. How much does an empty bottle weigh?
- The cube
The cube and cylinder weigh the same as three 20-gram weights. Three cubes and one cylinder weigh the same as two cylinders and one cube. How many grams does one cube weigh (and one cylinder)?
- Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the weight on the scale was bent. How much did they really weigh?
- The bakery
The bakery delivered 60 kg of bread to the store, the breads weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg and how many were two-kilo loaves?
- Vegetable meal
The cook was doing meal - in ratio 4: 3: 1 mix tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal?
- The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get?
- The fruit basket
The fruit basket is five times heavier than the empty basket. Filled is 20kg heavier than empty. Determine the weight of the fruit in the basket.
- Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking?
- The devils
The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh?
- Trio weight
Adelka, Barunka, and Cecilka are weight in pairs. Adelka with Barunka weighs 98 kg, Barunka with Cecilka 90 kg and Adelka with Cecilka 92 kg. How much does each of them weigh?
For three days the store sold 1400 kg of potatoes. The first day they sold 100 kilograms of potatoes less than the second day, the third-day three-fifths of what they sold the first day. How many kgs of potatoes sold every day?
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