System of equations - math word problems - page 72 of 103
Number of problems found: 2041
- Resulting 4757
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality?
- Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width.
- Grandfather 4754
Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have?
- Potatoes 6
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes, in the second hour, he sold five-sixth of the remaining potatoes, and in the third hour, he had sold the last 40kg of potatoes. How many kilograms of potatoe
- Competition 4729
The teacher submitted ten tasks during the competition. Students will receive 5 points for each correctly solved problem; 3 points will be deducted for an incorrect solution. How many math problems did the student solve correctly if he finally got 34 poin
- Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apples for 50 CZK a piece. The entire plantation cost 12,800 CZK. How many cherries and apples?
- Construction 4727
Honza's kit included 19 wheels. He used them all to construct tricycles and scooters. How many complete scooters and tricycles did he build? He will find all the solutions.
- Calculation 4718
The bank has a total of CZK 1,390 in 50 banknotes. How many banknotes are worth CZK 20 and CZK 50? Please follow the calculation procedure. Thank you
- 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?
- Bringing 4709
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 4704
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: 4681
Solve the system: (x + 5) (y-2) = (x-1) (y + 1) (x + 1) (y + 1) = (x + 5) (y-1)
- Graphical 4680
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 circumference 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 circumference of the triangle as 42 cm.
- Determine 4649
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
- Substitution 4644
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21
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