Lesson exercising

The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal groups. Again, no child has left.
How many children practiced the lesson of physical education if they are not more than 30? Find all solutions.

Result

n =  18

Solution:

Solution in text n =







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




To solve this verbal math problem are needed these knowledge from mathematics:

Do you want to calculate least common multiple two or more numbers?

Next similar math problems:

  1. Dinosaurs
    dino More than 30 and less than 60 dinosaurs have met at the pond. A quarter of them bathed and 1/7 saws and the rest gripped. How many were at the pond? How many were there?
  2. 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?
  3. 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?
  4. Waste paper
    recycle Our school attend 1,300 pupils. Each pupil collected plastic bottles or paper. Plastic bottles have collected 930 pupils and 600 pupils old paper. How many students have collected together plastic bottles and waste paper?
  5. Apples 2
    jableka How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
  6. The smallest number
    numbers_49 What is the smallest number that can be divided by both 5 and 7
  7. 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?
  8. Counting number
    numbers2_49 What is the smallest counting number divisible by 2,5,7,8 and 15?
  9. LCM
    numbers_11 Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers?
  10. Lcm simple
    lcm_gears Find least common multiple of this two numbers: 140 175.
  11. Addition of Roman numbers
    roman Added together and write as decimal number: LXVII + MLXIV
  12. Product
    complex-colors Result of the product of the numbers 1, 2, 3, 1, 2, 0 is:
  13. The largest number
    num Find the largest integer such that: 1. No figures is not repeat, 2. multiplication of every two digits is odd, 3. addition all digits is odd.
  14. Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  15. Midpoints
    sierpinski_1 Triangle whose sides are midpoints of sides of triangle ABC has a perimeter 45. How long is perimeter of triangle ABC?
  16. Tram lines
    elektricka_2 Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop?
  17. Seeds
    klicenie Of the 72 wet seeds 7/8 germinated. How many seeds germinate?