System of equations - math word problems - page 47 of 107
Number of problems found: 2130
- Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think. - Two numbers
The difference between the two numbers is 74. If we divide a larger number by a smaller one, we get a quotient of seven and the rest 2. Determine both numbers. - Together m+w
Women are 30%. Men are 360 more. How many are together? - Stones 3
Simiyu and Nasike each collected several stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If, initially, Simiyu had five stones less than Nasike, how many stones did each have? - Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in - Student class distribution
The 32 quartet students were divided into two classes during the game. After the first round, four students moved from the first class to the second, so half the number of students in the second class were in the first class during the first round. How we - 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. - 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 - 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. - An animal shelter
An animal shelter costs $5.50 per day to care for each bird and $8.50 per day for each cat. On Wednesday, Nicole noticed the shelter spent $283.00 caring for birds and cats. Nicole found a record showing a total of 40 birds and cats on Wednesday. How many - 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. - Silage cattle calculation
According to the plan, the cooperative secured 210 tons of silage for the winter. However, it then bought 10 heads of cattle, so it was necessary to reduce the amount of silage by half a ton per head. How many tons of silage did the cooperative initially - Sides of right angled triangle
One leg is 1 m shorter than the hypotenuse, and the second leg is 2 m shorter than the hypotenuse. Find the lengths of all sides of the right-angled triangle. - Cost reduction
Fourteen pieces of goods cost just as much as 21 pieces before the discount. The price of one piece after the discount is CZK 1.50 lower than before the price reduction. How much was one piece before the discount? - Bus catching calculation
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop? - Car meeting calculation
At midnight, a 40km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet? - Kilograms of melons
The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms? - Zebra ostrich legs
The ZOO has the same number of zebras as ostriches. They have a total of 84 legs. How many zebras and how many ostriches do they have at the ZOO?
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