Integer equation - math problems
Number of problems found: 89
- Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?
- Five number code
I have a 5 digit code on the bag that I forgot. All I remember is that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. .
- A fraction
I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi
- Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan and how many are Marienk
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs 10 denarii, a sow 5 denarii, two little piglets are worth 1 denarius. " How many pigs, sows and piglets could he buy for exactly 100 denarii?
- Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10 and 5 euro banknotes. Use a method other than listing all options systematically.
- The manila
The manila theater charged ticket prices as follow: adults php500, student php250, and children below 12 is php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible composition of the audience regarding the
- Coloured numbers
Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
- Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
- How many
How many different rectangles with integer page lengths have an area S = 60 cm²?
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
- Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman standing next to him wants to buy a newspaper, but he is missing five cents. Tereza is in a generous mood after the win, so she gives the m
- On a
On a some day, the Sun, Venus and the Earth are in eclipse, i. E. Venus is between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
Pepa asked Honza how many bikes he had. He replied that he had three-quarters of their total number and another three-quarter of one bike. So how many bikes does Honza have?
- Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so in order to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grand
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 of these tiles have so that no tile remains?
- TV competition
In the competition, 10 contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors answered incorrectly in that round. After the contest, one of the contestants said: We
- Average monthly salary
A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers of
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