System of equations - math word problems - page 75 of 110
Number of problems found: 2182
- Two numbers
The sum of the two numbers is 1. Find both numbers if you know that half of the first equals one-seventh of the second number. - Testing
Students in high school have 10 points for each good-solved task. Five points deduct the wrong answer. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly, and how many were wrong? - Boys and girls 2
The ratio of boys to girls in the math club is 4:3 . After eight more girls join the club, the ratio becomes 1:1. How many members are there in the club now? - Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence - Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - Number increase
The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number. - Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Matrix columns
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows? - Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144 - Years
Susan is three years old. She will be as old as Theodore is now when Theodore is 11. How old is Teodor today? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6 cm long and 4 cm high. - Wine
A bottle of wine costs 21 euros, and wine is 20 times more expensive than a bottle. How much does a bottle cost? - Adam and Ben
When Ben reaches Adam's current age, Adam will be 23 years old. When Adam was Ben's current age, Ben was 2 years old. How old are Ben and Adam today? - Three granaries
Three granaries hold 7,800 metric cents (q) of grain. In the first, 70 tonnes of grain was more than the second, and in the third, it was 120 tonnes less than in the second. How many grains were in each granary? - View angle
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river - Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =. - Meeting time
At 7 o'clock, a truck drove from Olomouc towards Hradec Králové at an average 40 km/h speed. A passenger car left Hradec Králové, 210 km from Olomouc, in 7 hours 45 minutes with an average speed of 80 km/h. At what time and how far from Olomouc will they - Two unknowns
Determine x, y: x + y = 10 x: y = 10 - Krkonose CZ
Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter, and 1/3 of the length of the rod remained above the snow. The length of the part above the snow is 32 cm greater than in the ground. Find the he - Event comparison
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all
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