System of equations - math word problems - page 28 of 110
Number of problems found: 2182
- Four pieces
A 37 cm board is cut into four pieces. The first and second pieces are equal in length, as are the third and fourth. The fourth piece is four times the difference between the length of the first piece and 10 cm. Find the length of the second piece. - Two simple
Two simple fractions have the product of 3/10. When the smaller fraction is divided by the bigger fraction, the quotient is 5/6. What are the two fractions in simplest form? - Bar cutting ratio
The 180 cm long bar should be cut into two parts so that the longer part is 4 cm shorter than three times, the shorter part. Find the lengths of the resulting bar sections. - Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had each collected. The arithmetic mean of Luke's and Peter's amounts was 10 kg more than Tibor's amount, and the arithmetic mean of Luke's and Tibor's amounts was 3 kg less than Peter's am - 144 steps
To get around the garden, we have to take 144 steps—eight steps less in width than in length. One step is five decimetres long. What are the dimensions of the garden? What are its perimeter and its area? - Nice two numbers
What two numbers do we give a sum of 30, a difference of 24 products of 81, and a quotient of 9? - Children and horses
There are some children and horses in a field. Together they have 39 heads and 122 feet. How many children are in the field, and how many horses are in the field? - Linear equation system
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - Skateboard
Petr wanted to buy a skateboard but had no money, so he asked his father and two brothers for help. His father gave him half of the amount his brothers gave him. His older brother gave him a third of what he received from the other two. His younger brothe - The library
Anna stored a total of 126 books in three compartments of a library. The first compartment has 6 more books than the second. The number of books in the second compartment is the arithmetic mean of the number in the first and third compartments. Calculate - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Number summand ratio
Can you divide the number 64.9 into three summands so that the first with the second is in the ratio 4:5 and the third with the first in the ratio 7:3? - Lucka Lucy reads a thrilling novel about the holidays. She would read the book one day earlier if she read 16 pages daily instead of 14. How many pages does the novel have in total?
- Dimensions 3
The perimeter of a rectangular field is 96 meters. The length is four meters less than three times the width. Find the length and width (its dimensions). - 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 foundation growth to be at least four times the amount - The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - The sum 16
The sum of A and B is 36. The difference between A & B is 8. Find the larger number. - 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) - Sum and product The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy?
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