System of equations - math word problems - page 10 of 107
Number of problems found: 2130
- Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Dormitory Room Types
The dormitory accommodates 173 students in 48 rooms. Some rooms have three beds; some have four beds. If all rooms are fully occupied, determine how many are triples and how many are quadruple rooms. - Bottling into Two Sizes
A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there? - Hotel Room Capacity The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds?
- Dividing Number Proportionally
Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply. - Motion with Decreasing Acceleration
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Pear apple price
The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples? - Triangle angle sizes
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle. - Basket pom market
During the first two days of the Easter market, the basket maker sold all the knitted pom poms; on the first day, he sold a fifth of all pom poms. On the second day, he sold 180 more pom poms than on the first day. How many pomelos did the barber sell on - In a queue
There are cars and trucks in a queue in front of a toll gate. A truck is three times longer than a car. Calculate how many cars are in front of the car that has just arrived, if there is one truck among them, which is one eighth of the length of the queue - Anna Beatka money
Anna had 3 times more than Beatka. Cilka had 2 euros more than Beátka. They had a total of 52 euros. How much did each have? - Administrative
There are 21 employees working in a warehouse - manual and clerical workers. When adjusting the wages, they reduced the daily wage of each clerical worker by €3 and increased the daily wage of each manual worker by €2, so the total daily wage increased by - Rectangle dimension modification
If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its area will increase by 13 cm². What were the original dimensions of - Cable division parts
The master gave the apprentice the task of dividing the 28 m long electric cable into two parts so that the second part was 2.5 times larger than the first. How long were the cable sections supposed to be? - Canister water morning In the morning, 6 liters more water was in the green canister than in the blue one. In the afternoon, the gardener poured 1 liter of water from the green canister into the blue one. There was then twice as much water in the green canister as in the blue o
- Triangle hypotenuse circle
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle. - Class grade average
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Basketball point throws
In the basketball game, the players threw 37 times, including 2-pointers and 3-pointers, for a total of 82 points. How many were 2 points, and how many were 3 points? - Banknote cash register
Cashier Samuel had a total of 20 banknotes in the cash register with a total value of 850 euros. They were only €50 and €20 notes. How many of each bill did he have? - Ondra book pages
Ondra was reading a book. On the first day, he read one-tenth. On the second day, he read half of the remainder; on the third day, he read 20% of the new remainder; and on the fourth day, he read the remaining 72 pages. Thus, the book had 72 pages.
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