System of equations - practice problems
Number of problems found: 1955
- 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 20% profit and the laptop at 10% loss. If overall he made a 2% profit then find the purchase price, in rupees, of 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
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr from its usual speed and the time of the flight increased by 30 min. 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? - The number 10
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? - Three equations
Find the solution to the equations x-y+z=-1 x+y+3z=-3 2x-y+2z=0 - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - Two containers 2
Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on
- The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y. - Flower shop
In a flower shop, a bunch containing 3 tulips, 2 roses, and 1 daffodil cost $10.79. A different bunch containing 1 tulip, 2 roses, and 3 daffodils costs $10.13. A tulip costs 35 cents more than a rose. How much does 1 tulip and 1 rose, and 1 daffodil cost - A man 14
A man gave 1/3 of his wealth to his wife, 2/3 of the remaining to his daughter, and divided the remaining between his two sons equally. If the daughter received Rs.3000000 more than one of the sons, find the value of the father's property. - Domino
Domino and Winnie share some biscuits. The ratio of biscuits between them was 4:3. Domino gave Winnie 5 biscuits, and the ratio changed to 1:2. How many biscuits are in total? - A barrel
A barrel of sorghum weighs 56kg. The same barrel filled with kerosene weighs 35kg. If sorghum is twice as heavy as kerosene, how much does the empty barrel weigh?
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