# Equation + mass - practice problems

#### Number of problems found: 129

- Oranges

Dad bought oranges. A two-kilo package of oranges cost CZK 65, the bag cost CZK 5. How many kg of oranges did Dad buy when he paid CZK 265. - KOH

How many g of 20% KOH solution do we need to mix with 500 g of 30% KOH solution to obtain a 25% KOH solution? - Chad buys

Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over? - Cheese consumption

I have some cheese. I used 2/5 of the total amount of cheese yesterday. Today, I used 2/5 of the remaining cheese from yesterday. If 900 g of cheese remain at the end of today, how many grams of cheese did I have originally? - There

There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water? - The aluminum

The aluminum object with a weight of 0.80 kg and a temperature of 250°C was placed in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only be - Apples investment

The merchant bought a certain amount of apples and paid 1 denarius for every 7 apples. The next day he sold all the apples for 1 denarius for 5 pieces and earned 12 denarii. How many apples did he originally buy and how many did he have to invest in this - Average weight

Mom bought 6 apples with an average weight of 130 g - If she took 1 apple out of the bag, the average weight of the remaining apples changed to 140 g. What was the weight of the removed apple? - 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? - Nutballs

The dough for nutballs contains, among other things, two basic raw materials: flour and nuts in a ratio of 2:1. How much is flour, and how many nuts are needed for 1 kg of dough if "other" is 100g? - 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 bridge

A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force is pushing the car onto the bridge as it passes through the center? What is the maximum speed it can cross over the center of the bridge so that - Same force

The trunk of 5m in length and 95 kilograms has a center of gravity 2m from the thicker end. The tribe is carried by two men, one at the thicker end. At what distance does the trunk carry a man from the other end to make the same force on it? - Angled cyclist turn

The cyclist passes through a curve with a radius of 20 m at 25 km/h. How much angle does it have to bend from the vertical inward to the turn? - Rotaty motion

What is the minimum speed and frequency that we need to rotate with water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Fruit salad

The fruit salad is prepared from oranges and bananas. One kilogram of oranges costs 30 CZK, and one kilogram of bananas costs 18 CZK. How many kilograms of bananas need to be added to half a kilogram of oranges to produce a fruit salad worth CZK 21 per 1 - Floating of wood - Archimedes law

What will be the volume of the floating part of a wooden (balsa) block with a density of 200 kg/m³ and a volume of 0.02 m³ that floats in alcohol? (alcohol density is 789 kg/m^{3}) - 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?

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