System of equations - math word problems - page 68 of 103
Number of problems found: 2041
- Warehouses
In the three warehouses, the company stored a total of 70 tons of grain. The second warehouse was stored 8.5t less and in the third, 3.5 tons more than in the first. How many tons of grain were stored in each warehouse?
- Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be?
- Largest angle of the triangle
What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
- Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area.
- Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80.
- Book read
If Petra read ten pages per day, she would read the book two days earlier than she read six pages a day. How many pages does a book have?
- Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add it to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers are they?
- Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?
- Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers.
- 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?
- Difference 5186
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?
- Rectangular 5174
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 Teodor now when he is 11. How old is Teodor today?
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