Equations practice problems - page 195 of 236
Number of problems found: 4709
- Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle.
- Simultaneously 3157
The first machine closes 65 closing bottles per minute. The second machine closes five bottles less at the same time. How many minutes will both machines close 2,500 bottles if they work simultaneously?
- Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?
- Cenda and Pepa
Cenda and Pepa went to the event. Cenda started alone. Canda started after him for 20 minutes. How long did it take Cenda to catch him? Cenda traveling at 15 km/h, and Pepa traveling at 25 km/h.
- Pohádkov 3118
The brothers live in a small house with a garden in Pohádkov. The house has four times more windows than doors. There are a total of 20 windows and doors in the house. How many windows and how many doors?
- Messenger 3117
One messenger went 7 miles every day. When he had gone 64 miles, his master sent another messenger after him, who went 9 miles daily. How many days did the second messenger catch up with the first messenger?
- Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle.
- Difference 3113
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers.
- Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%?
- Acid solution
By adding 250 grams of a 96% sulfuric acid solution to its 3% solution, we changed its initial concentration to 25%. How many grams of 3% of the acid were used for dilution?
- Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
- Liters 3107
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C.
- Temperature 3104
The tank has water with a volume of 300 liters and a temperature of 10 °C. Add water at a temperature of 90 °C until a temperature of 30 °C is reached. How many liters of warmer water do I need to add?
- Difference 3101
The difference between the two numbers is 4/3. If you know that the first number is 50% larger than the second number, specify both numbers.
- Water temperatures
To 25 liters of water at 50 °C, we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature of 42.5 °C?
- Candy
The price for 1kg of more expensive candy is 125 CZK. The price for 1kg of cheaper candy is 100 CZK. We make two different blends of candy. And now. The second blend contains 2 kilograms of more expensive candy and several kg of cheaper candy. The price p
- Kilograms 3094
1.5 kg of a 20% NaCl solution should be diluted to a 10% solution with water. How much water will we need, and how many kilograms of diluted solution will we get?
- Alcohol
How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liters of 40% alcohol?
- Solution 3092
How many liters of 80% alcohol need to be mixed with 4 liters of 40% alcohol to get 70% alcohol? How many liters of 70% solution do we get?
- Numbers 3090
The sum of the two numbers is 52.5. The first number makes up 75% of the second number. Specify both numbers.
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