System of equations - practice problems - page 3 of 98
Number of problems found: 1948
- Math class
There are a total of 30 students in a math class. The number of boys is 2 more than 3 times the number of girls. How many boys are in this math class? - The temperature 38
The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit? - Three 222
Three tractor drivers working on a private farm together played 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares played by the first, second and third. - The perimeter 10
The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle.
- The masses
The masses of a mother and a daughter differ by 30kg and are in the ratio of 8:5. Find the mass of each. - The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions? - The sum 30
The sum of 8 times a number and 5 times another number is 184. The first number minus the second number is -3. What are the numbers? - Length and width
The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm. - Acceleration 83304
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
- Apples 83295
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? - Determine 83240
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. - Pomeloes 83231
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 - Beatka 83184
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? - Dimensions 83176
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 content will increase by 13 cm². What were the original dimensions
- Apprentice 83169
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? - Afternoon 83168
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 - Hypotenuses 83154
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. - Students 83149
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 83137
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?
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