School year

At the beginning of the school year, 396 notebooks and 252 textbooks are ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that there are more than 30 and less than 50?

Result

n =  36

Solution:

396=223211 252=22327 GCD(396,252)=2232=36  n=GCD(396,252)=36 s=396/n=396/36=11 u=252/n=252/36=7  30<n<50  n=36396=2^2 \cdot 3^2 \cdot 11 \ \\ 252=2^2 \cdot 3^2 \cdot 7 \ \\ \text{GCD}(396, 252)=2^2 \cdot 3^2=36 \ \\ \ \\ n=GCD(396,252)=36 \ \\ s=396/n=396/36=11 \ \\ u=252/n=252/36=7 \ \\ \ \\ 30<n<50 \ \\ \ \\ n=36



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?

Next similar math problems:

  1. School
    ratios_2 Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?
  2. Buildings
    prg The school stands 110 m from the church, which is 100 m beyond the town hall. Which building are closer to the church and how many times?
  3. Write decimals
    numbers_34 Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
  4. Gears
    ozub_kola The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stai
  5. The port
    port Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port?
  6. LCM of two number
    numbers2_19 Find the smallest multiple of 63 and 147
  7. Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  8. Dance ensemble
    dancers_1 The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six and nine. How many dancers have an ensemble?
  9. Counting number
    numbers2_49 What is the smallest counting number divisible by 2,5,7,8 and 15?
  10. Balls groups
    gulky_5 Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
  11. Apples 2
    jableka How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
  12. Cents no more
    cent Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros?
  13. Lcm simple
    lcm_gears Find least common multiple of this two numbers: 140 175.
  14. Four families
    Rodina-01 Four families were on a joint trip. In the first family, there were three siblings, namely Alica, Betka and Cyril. In the second family were four siblings, namely David, Erik, Filip and Gabika. In the third family, there were two siblings, namely Hugo an
  15. Biketrial
    cyklo Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
  16. Division
    numbers_36 Which number in division 16 give 12 and the rest 3?
  17. Fewer than 500 sheep,
    sheep-500 There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five and sixth order, one sheep will remain. But they can stand in the seventh order. How many are sheep?