Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?


n =  9


n=1 e=72(n-3).(e+4)=-152
n=2 e=36(n-3).(e+4)=-40
n=3 e=24(n-3).(e+4)=0
n=4 e=18(n-3).(e+4)=22
n=5 e=14.4(n-3).(e+4)=36.8
n=6 e=12(n-3).(e+4)=48
n=7 e=10.285714285714(n-3).(e+4)=57.142857142857
n=8 e=9(n-3).(e+4)=65
n=9 ****e=8(n-3).(e+4)=72
n=10 e=7.2(n-3).(e+4)=78.4
n=11 e=6.5454545454545(n-3).(e+4)=84.363636363636
n=12 e=6(n-3).(e+4)=90
n=13 e=5.5384615384615(n-3).(e+4)=95.384615384615
n=14 e=5.1428571428571(n-3).(e+4)=100.57142857143
n=15 e=4.8(n-3).(e+4)=105.6
n=16 e=4.5(n-3).(e+4)=110.5
n=17 e=4.2352941176471(n-3).(e+4)=115.29411764706
n=18 e=4(n-3).(e+4)=120
n=19 e=3.7894736842105(n-3).(e+4)=124.63157894737
n=20 e=3.6(n-3).(e+4)=129.2
n=21 e=3.4285714285714(n-3).(e+4)=133.71428571429
n=22 e=3.2727272727273(n-3).(e+4)=138.18181818182
n=23 e=3.1304347826087(n-3).(e+4)=142.60869565217
n=24 e=3(n-3).(e+4)=147
n=25 e=2.88(n-3).(e+4)=151.36
n=26 e=2.7692307692308(n-3).(e+4)=155.69230769231
n=27 e=2.6666666666667(n-3).(e+4)=160
n=28 e=2.5714285714286(n-3).(e+4)=164.28571428571
n=29 e=2.4827586206897(n-3).(e+4)=168.55172413793
n=30 e=2.4(n-3).(e+4)=172.8
n=31 e=2.3225806451613(n-3).(e+4)=177.03225806452
n=32 e=2.25(n-3).(e+4)=181.25
n=33 e=2.1818181818182(n-3).(e+4)=185.45454545455
n=34 e=2.1176470588235(n-3).(e+4)=189.64705882353
n=35 e=2.0571428571429(n-3).(e+4)=193.82857142857
n=36 e=2(n-3).(e+4)=198
n=37 e=1.9459459459459(n-3).(e+4)=202.16216216216
n=38 e=1.8947368421053(n-3).(e+4)=206.31578947368
n=39 e=1.8461538461538(n-3).(e+4)=210.46153846154
n=40 e=1.8(n-3).(e+4)=214.6
n=41 e=1.7560975609756(n-3).(e+4)=218.73170731707
n=42 e=1.7142857142857(n-3).(e+4)=222.85714285714
n=43 e=1.6744186046512(n-3).(e+4)=226.97674418605
n=44 e=1.6363636363636(n-3).(e+4)=231.09090909091
n=45 e=1.6(n-3).(e+4)=235.2
n=46 e=1.5652173913043(n-3).(e+4)=239.30434782609
n=47 e=1.531914893617(n-3).(e+4)=243.40425531915
n=48 e=1.5(n-3).(e+4)=247.5
n=49 e=1.469387755102(n-3).(e+4)=251.59183673469
n=50 e=1.44(n-3).(e+4)=255.68
n=51 e=1.4117647058824(n-3).(e+4)=259.76470588235
n=52 e=1.3846153846154(n-3).(e+4)=263.84615384615
n=53 e=1.3584905660377(n-3).(e+4)=267.92452830189
n=54 e=1.3333333333333(n-3).(e+4)=272
n=55 e=1.3090909090909(n-3).(e+4)=276.07272727273
n=56 e=1.2857142857143(n-3).(e+4)=280.14285714286
n=57 e=1.2631578947368(n-3).(e+4)=284.21052631579
n=58 e=1.2413793103448(n-3).(e+4)=288.27586206897
n=59 e=1.2203389830508(n-3).(e+4)=292.33898305085
n=60 e=1.2(n-3).(e+4)=296.4
n=61 e=1.1803278688525(n-3).(e+4)=300.45901639344
n=62 e=1.1612903225806(n-3).(e+4)=304.51612903226
n=63 e=1.1428571428571(n-3).(e+4)=308.57142857143
n=64 e=1.125(n-3).(e+4)=312.625
n=65 e=1.1076923076923(n-3).(e+4)=316.67692307692
n=66 e=1.0909090909091(n-3).(e+4)=320.72727272727
n=67 e=1.0746268656716(n-3).(e+4)=324.77611940299
n=68 e=1.0588235294118(n-3).(e+4)=328.82352941176
n=69 e=1.0434782608696(n-3).(e+4)=332.86956521739
n=70 e=1.0285714285714(n-3).(e+4)=336.91428571429
n=71 e=1.0140845070423(n-3).(e+4)=340.95774647887

ne=72 (n3)(e+4)=72 n=9 e=8n e = 72 \ \\ (n-3)(e+4) = 72 \ \\ n = 9 \ \\ e = 8

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!

Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

Next similar math problems:

  1. Casey
    ham Casey bought a 15.4 pound turkey and an 11.6 pound ham for thanksgiving and paid $38.51. Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham.
  2. Stones 3
    stones Simiyu and Nasike each collected a number of stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If initially, Simiyu had five stones less than Nasike how many stones did each have?
  3. Three workshops
    workers_24 There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  4. Boys and money
    money_12 270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than than Paul. How much each received?
  5. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  6. The product
    eq222 The product of a number plus that number and its inverse is two and one-half. What is the inverse of this number
  7. Ball game
    lopta_3 Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
  8. A fisherman
    worms A fisherman buys carnivores to fish. He could buy either 6 larvae and 4 worms for $ 132 or 4 larvae and 7 worms per $ 127. What is the price of larvae and worms? Argue the answer.
  9. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  10. Difference of two number
    squares2_6 The difference of two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
  11. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  12. An animal shelter
    cat An animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. Nicole found a record showing that there were a total of 40 birds an
  13. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  14. A candle
    candles A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How
  15. Nine books
    books_42 Nine books are to be bought by a student. Art books cost $6.00 each and biology books cost $6.50 each . If the total amount spent was $56.00, how many of each book was bought?
  16. Men, women and children
    regiojet On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
  17. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?