Equations practice problems - page 112 of 240
Number of problems found: 4793
- Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b?
- Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters.
- Blueberries collecting
Marie collects 2 l of blueberries in 1 hour. She began collecting at 8.00 PM. Joe collects 1.5 l in 1 hour. Peter collects 1 l for 1 hour. They began to gather at 08.30 PM. Together, they collect 10 l. At what time will they all be collected?
- Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B
- In theatre 2
A ticket for the balcony costs x CZK, and for the auditorium costs y CZK. For the afternoon performance, they sold 98 tickets for the balcony and 186 tickets for the auditorium, earning a total of 10970 CZK. For the evening performance, they sold 127 balc
- Calculate 12451
Petr found out that he would save CZK 1,680 with a 24% discount when selling winter goods. Calculate the original price of ski equipment.
- Motorcycle 12381
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both
- Traveling 12371
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists?
- Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m?
- Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle.
- Determine 12331
An annulus with an area S = 4.2 square meters has an inner radius r = 2.25 m. Determine the outer radius of the annulus.
- Where and when
The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average 80km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?
- Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
- Ice skates
The price of ice skates was raised twice, first by 25% and then by 10%. After the second price increase, their cost was 82.5 euros. What was the original price of the skates?
- Flowerbed
We enlarged the circular flower bed, increasing its radius by 3 m. The substrate consumption per enlarged flower bed was nine times greater than before (at the same layer height as before magnification). Determine the original flowerbed radius.
- Inspection 12171
During the inspection of the trees, we found that 1/3 was broken and 2/5 bitten. In the beginning, there were only 40 pieces. How much was planted in total?
- A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths.
- Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square?
- Harvest time
Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants ten days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in
- Father and sons
The father is 27, and his sons are two and one year old. In how many years will his sons be half his age?
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