System of equations + integers - practice problems
Number of problems found: 35
- The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - The sum 30
The sum of 8 times a number and 5 times another number is 184. The first number minus the second number is -3. What are the numbers? - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - The sum 9
The sum of two integers is 4. Their difference is 8. What are these two integers? - The sum 8
The sum of the two numbers is 21. If three times the smaller numbers are two less than twice the larger number, find the two numbers. - There 5
There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended?
- The cost
The cost of the amusement ticket is 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2 000, and the total gets revenue is 750000 pesos. How many children and how many adults bought the tickets? - The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 are php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adu - Quarantine cupcakes
Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes, more than Mr. Honse. If they put all their cupcakes together (which they can't because. of quarantine!), they would have 108 cupcakes. How m - Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to
- Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - The difference
The difference between the two numbers is 1375. If their exact quotient is 12. Find the two numbers - Difference 7742
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - Consecutive 7556
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6.
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