# System of equations - high school - practice problems

#### Number of problems found: 419

- Apples

60% of first quality apples were picked in the upper orchard and 90% of first quality apples in the lower orchard. How many% of the first quality was achieved in total, if the total harvest was 240 tons of apples and in the lower orchard the harvest was 4 - Money spending

Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If peter spent $6 and Albert did not spend any the ratio of Albert's money to Peter's money is 3:7.How muc - 11990 perimeter RT

A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Tickets 7

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many - Members

A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has even index) has a value of 42. Find these members. - Linear temp change

The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM? - What is 19

What is the equation of the line whose x - intercept is - 3 and y - intercept is -4? Find coefficients A, B, C in normal line equation: Ax + By = C - 24carat gold

The goldsmith cast 22 carat gold and 14 carat gold and earned 20 dkg of 18 carat gold. How much gold did he use? - The sum 17

The sum of three numbers is -1. If we multiply the second number by 2, third number by 3 and add them, we get 5. If we subtract the third number from the sum of first and second numbers, we get -1. Answer the following: Represent the above information a - The satellite

The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. For how long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of sate - Solve 6

Solve following equations: x + 2y - z = 3 3x + 4y + z = 5 3x - y - z = 5 - Apple collecting

Luke, Peter and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic mean of what Luke and Tibor collected was 3 - The library

Anna stored a total of 126 books in three compartments of the library. There are 6 books more in the first compartment than in the second one. The number of books in the second compartment is the arithmetic average of the number of books in the first and - Two numbers

One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers. - The charity

Amy will donate up to $460 to charity. The money will be divided between two charities: the city youth fund and the educational growth foundation. Amy would like the amount donated to the educational growth foundation to be at least four times the amount - The sum 15

The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Conjugate equation

Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i) - Three unknown numbers

The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers? - One leg

One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - 6 plates

6 plates and 5 cups cost 37.50 dollars. 7 plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the cost of 1 cup?

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Do you have a system of equations and looking for calculator system of linear equations? System of equations - practice problems. Examples for secondary school students.