Integers - math word problems - page 13 of 18
Number of problems found: 348
- Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1. - Mug and kettle
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Package
The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left to remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m. Determine the amount of the cloth in the package. - Plot rectangle mesh
How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available? - Root equation
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - Father and son
A father and son are 74 years old together. The son is 30 years younger than the father. How old is the son? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box? - Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions) - Number puzzle
Darius said to Miloš: I think a number. If I raise it to the power of one-fourth and then multiply by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers. - The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Integer inequalities
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Diofant 2 Is equation 1140x +876y = 48 solvable on the set of integers Z?
- Tangerine distribution
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has. - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - Legs
There are four-legged chairs and three-legged stools in the room, all fitted with (one) person. I counted all the legs in the room, and there were 39. How many chairs, stools, and people are there?
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