System of equations + mixtures and solutions - practice problems - page 4 of 5
Number of problems found: 96
- Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Resulting 4757
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality? - Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made? - Concentration 4419
We added 300 g of water to a 400 g of salt solution. This step reduces the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- Kilograms 4361
From two types of coffee for 450 CZK and 730 CZK per 1 kg, our task is to prepare 20 kg of the blend at a price of 520 CZK per kg. How many kilograms of each type of coffee will be needed to make such a blend? - Sufficient 4019
We want to prepare 200g of 64% alcohol. We have a sufficient amount of 80% and 45% alcohol. How many of which will we need? - Bonbons
Create a mixture of 50 kg of candy for a price of 700Kč. Candies have prices: 820Kč, 660Kč, and 580Kč. Use cross rule. - Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture? - Alcohol mixture
From 55% and 80% alcohol, we have to produce 0.2 kg of 60% alcohol. How many of them do we use in the solution?
- CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Children tickets
A ticket to the museum for children costs 10 SKK for adults and 20 SKK. Fifty people came to the museum and paid 700 SKK. How many children were there? - Concentration
How many grams of 65% and 50% acid is to be mixed to give 240 g of acid with a concentration of 60%? - Concentration 3097
How many liters of 60% and 80% formic acid do we have to mix to get 80 liters of this acid with a concentration of 65%? - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture?
- Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and how much copper does it contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of - Coffee
Coffee merchant has coffee robusta and arabica species. 1 kg Robusta is worth 450 CZK, Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 490 CZK
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