Group

Group of kids wanted to ride. When the children were divided into groups of 3 children 1 remain. When divided into groups of 4 children 1 remain. When divided into groups of 6 children 1 missed. After divided to groups of 5 children its OK. How many are there?

Correct result:

n =  0

Solution:

Problem has no solution

n=3x+1 n=6y1 3x+1=6y1 3x6y=2 6y3x=2;x,yN;P=  d3:4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,64,67,70,73,76 d4:5,9,13,17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77,81,85,89,93,97,101 d6:5,11,17,23,29,35,41,47,53,59,65,71,77,83,89,95,101,107,113,119,125,131,137,143,149 d5:5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110,115,120,125  d3:10,25,40,55,70,85,100,115,130,145,160,175,190,205 d4:5,25,45,65,85,105,125,145,165,185,205,225,245,265 d6:5,35,65,95,125,155,185,215,245,275,305,335,365,395 n = 3x+1 \ \\ n = 6y-1 \ \\ 3x+1 = 6y -1 \ \\ 3x - 6y = -2 \ \\ 6y - 3x = 2; x,y \in N; P = \emptyset \ \\ \ \\ d3: 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76 \ \\ d4: 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101 \ \\ d6: 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149 \ \\ d5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125 \ \\ \ \\ d3: 10, 25, 40, 55, 70, 85, 100, 115, 130, 145, 160, 175, 190, 205 \ \\ d4: 5, 25, 45, 65, 85, 105, 125, 145, 165, 185, 205, 225, 245, 265 \ \\ d6: 5, 35, 65, 95, 125, 155, 185, 215, 245, 275, 305, 335, 365, 395 \ \\



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?
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

Next similar math problems:

  • Math test
    numbers_1 In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
  • Cinema 5
    kino James wants to go to the movies every Tuesday for five years. After a year he learned that the ticket price on Wednesday is only € 5.10 and € 5.60 the other day. Now that he know about the discount, he decided to change his habits and he will go to the ci
  • Exhibition
    skola_vola The teacher paid for 280 Kč for 4.A students for admission to the exhibition. How many students were on the exhibition?
  • Sick
    tabletky Sick Marcel already taken six tablets, which was a quarter of the total number of pills in the pack. How many pills were in the pack?
  • 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
  • Math classification
    prezident In 3A class are 27 students. One-third got a B in math and the rest got A. How many students received a B in math?
  • Doctors
    cvach1 In the city operates 196 doctors. The city has 134456 citizens. How many citizens are per one doctor?
  • Perpetrator
    snehulaci The perpetrator is a number that is smaller than the number 80. It is a multiple of five and it is odd. If we added up the tens and ones of this number we get number 8.
  • Street numbers
    street Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
  • The result
    dice_2 How many times I decrease the number 1632 to get the result 24?
  • Symbols
    my If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5?
  • Number
    numbers_12 What number I think? The third is 6 and half is 2 more than the its quarter.
  • Product
    complex-colors Result of the product of the numbers 1, 2, 3, 1, 2, 0 is:
  • Addition of Roman numbers
    roman Added together and write as decimal number: LXVII + MLXIV
  • 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.
  • Cages
    guineapig Honza had three cages (black, silver, gold) and three animals (guinea pig, rat and puppy). There was one animal in each cage. The golden cage stood to the left of the black cage. The silver cage stood on the right of the guinea pig cage. The rat was in th
  • Students
    reportcard The class has 22 students. 2 of which has assesement of 2. Count of assesement of 1 is three times more than count of students with assesement of 3. How many students has assesement of 1 and how many students has assesement of 1.