Integer equation - practice problems - page 8 of 9
Number of problems found: 178
- Unknown 2881
Find an unknown number: (9 + y) x 6 = 12 x 7 y =?
- Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years.
- Denominator 2858
Which same integer must we add to the reader and the denominator of the fraction 37/73 so that the fraction equals one-half?
- Sometimes 2814
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta
- Horses 2773
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there?
- Remembered 2766
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?
- Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist?
- Candies 2597
Two bars and one candy cost 24 CZK. Two candies and one bar cost CZK 27. How much does candy cost?
- Tangerines 2508
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.
- Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
- Repairman
The repairman has vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he took a helper worker. Together, they made all the corrections for the whole day. How long would it take work to help workers?
- Primes 2
For what primes p,q,r is true: p²-(q+r)²=647
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters.
- Daughters
The man conducting the census asks a woman the age of her three daughters. The woman says when multiplying the age, get the number 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. S
- Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
- Basements
In the first cellar, there are more flies than spiders. In the second, the opposite. In each cellar, the flies and spiders had a combined 100 legs. Determine how many flies and spiders could have been in the first and how many could have been in the secon
- Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).
- Three co-owners
The three co-owners of the building company have earnings from a contract portioned in the ratio of 3:6:7. Each of them received the amount in the whole USD. One of them, on contract, earned 86450 USD. What were the total earnings for this order?
- Scouts
Scouts purchased two types of camp cans for a total cost of 1460 CZK. The first can cost CZK 32, and the second cost 25 CZK. How many cans were purchased for each type?
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