System of equations - practice problems - page 4 of 103
Number of problems found: 2041
- Numerators and denominators
A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction. - A man 18
A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively. - 280 oranges
280 oranges are divided among 50 girls and boys so that each boy gets 5 oranges and each girl gets 7 oranges. How many girls are there? - A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?
- Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers. - The sum of squares
The sum of the squares of two numbers is 233, and one of the numbers is 3, less than twice the other. Find the numbers. - Father and son 10 Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages.
- Two places 3
The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Kevin and Mary Kevin is 4 times as old as Mary was 2 years ago. In seven years Mary will be as old as Kevin is now. How old are they now.
- PC and laptop
A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at a 20% profit and the laptop at a 10% loss. If, overall, he made a 2% profit, then find the purchase price, in rupees, for the desktop. - The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles. - Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - Empty rooms
In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory? - Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon.
- A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides . - Cupcakes
Keia and Hiro made a total of 27 cupcakes. Keia made 2 times as many cupcakes as Hiro. How many cupcakes did Hiro make? - Violin and dance lesson
Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - Addition method
Solve for the variables by substitution or addition method: x + 3y = 19 5x + 3y = 35 - Dostaneli
If we get 5% of the amount that Petr has in his wallet and 4% of the amount that Paul has with him, we will have 46 CZK. However, if we get 4% from Peter's and 5% from Paul's, we will only have 44 CZK. How many crowns do Petr and Paul have with them?
Find the solution to the equations x-y+z=-1 x+y+3z=-3 2x-y+2z=0Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
