System of equations - math word problems - page 79 of 110
Number of problems found: 2182
- Benches
The park has 64 benches. Occupied is 18 more than empty. How many benches are occupied and empty? - Empty canister
The canister is filled with oil and weighs 17 kg. Suppose only half is filled, weighing 9 kg. What weight does my empty canister have? - Freight wagons
The passing freight train had a total of 42 wagons, bringing a total of 750 tons to the station. Some wagons were 15 tons, and others 20 tons. How many wagons were 15 tons, and how many were 20 tons? - Production schedules
The monthly production schedule of the two companies totaled 360 machines. When the first company met its plan at 105% and the second at 117%, the two companies produced 402 machines. Determine the original monthly schedules of both businesses. - System 2xy
Solve the system: (x + 5) (y-2) = (x-1) (y + 1) (x + 1) (y + 1) = (x + 5) (y-1) - Graphic solution
Solve the system by the graphical method: x + y = 8 2x-y = 1 - Parallelogram
Side a of a parallelogram is twice longer than side b. Its perimeter is 78 dm. Calculate the length of the sides of a parallelogram. - Triangle ABC
In an ABC triangle, side b measure 10 cm less than side a, and side b is half of side c. Calculate the length of the sides of the perimeter of the triangle as 42 cm. - Linear equation
Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like? 2x + 3y = 7 - Two Equations
Solve the system of equations by any method and perform the test: 2 (x + y) -3 (y + 2) = -1 x + 2/3y-6 = 2 - System methods
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Decimal sum
The sum of two decimal numbers, one of the numbers is 3.2 larger than the other, is 52.78. Find this larger number. - Comparing salaries
Spouses compared salaries. Mrs. Jane found a 20% higher salary than Mr. Jerry. Together they earned € 1,430. How much do they earn each of them? - First train
In 1839, the first train went from Vienna to Brno, and in 1845 to Prague. It took, however, more than 50 years before the first Czech locomotives came out onto the tracks. The first Czech-Moravian factory for machines left the first Czech locomotive on 26 - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Combined savings
Pavel has half as much savings as Standa but the same savings as Rado. Standa saved CZK 120 less than Rado. What savings do all three boys have together? A) less than CZK 600 B) CZK 600 C) CZK 960 D) 1200 CZK E) another number of crowns - Garden fencing The rectangular flower garden fencing is 57.6 m long. If you know its dimensions are in a 5:7 ratio, find them.
- The farmer
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes brought in. He sold five-sixths of the remaining potatoes in the second hour, and in the third hour, he sold the last 40 kg of potatoes. 1. Express a fraction - Two sisters
Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters? - Worker payment
Three workers received €2,850 for the work done. They divided them according to the time worked so that the first got 20% less than the second and the third €50 more than the second. How many euros did the second worker get?
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