Friends

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?

Result

n =  9

Solution:

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=10.2857142857(n-3).(e+4)=57.1428571429
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=6.54545454545(n-3).(e+4)=84.3636363636
n=12 e=6(n-3).(e+4)=90
n=13 e=5.53846153846(n-3).(e+4)=95.3846153846
n=14 e=5.14285714286(n-3).(e+4)=100.571428571
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=4.23529411765(n-3).(e+4)=115.294117647
n=18 e=4(n-3).(e+4)=120
n=19 e=3.78947368421(n-3).(e+4)=124.631578947
n=20 e=3.6(n-3).(e+4)=129.2
n=21 e=3.42857142857(n-3).(e+4)=133.714285714
n=22 e=3.27272727273(n-3).(e+4)=138.181818182
n=23 e=3.13043478261(n-3).(e+4)=142.608695652
n=24 e=3(n-3).(e+4)=147
n=25 e=2.88(n-3).(e+4)=151.36
n=26 e=2.76923076923(n-3).(e+4)=155.692307692
n=27 e=2.66666666667(n-3).(e+4)=160
n=28 e=2.57142857143(n-3).(e+4)=164.285714286
n=29 e=2.48275862069(n-3).(e+4)=168.551724138
n=30 e=2.4(n-3).(e+4)=172.8
n=31 e=2.32258064516(n-3).(e+4)=177.032258065
n=32 e=2.25(n-3).(e+4)=181.25
n=33 e=2.18181818182(n-3).(e+4)=185.454545455
n=34 e=2.11764705882(n-3).(e+4)=189.647058824
n=35 e=2.05714285714(n-3).(e+4)=193.828571429
n=36 e=2(n-3).(e+4)=198
n=37 e=1.94594594595(n-3).(e+4)=202.162162162
n=38 e=1.89473684211(n-3).(e+4)=206.315789474
n=39 e=1.84615384615(n-3).(e+4)=210.461538462
n=40 e=1.8(n-3).(e+4)=214.6
n=41 e=1.75609756098(n-3).(e+4)=218.731707317
n=42 e=1.71428571429(n-3).(e+4)=222.857142857
n=43 e=1.67441860465(n-3).(e+4)=226.976744186
n=44 e=1.63636363636(n-3).(e+4)=231.090909091
n=45 e=1.6(n-3).(e+4)=235.2
n=46 e=1.5652173913(n-3).(e+4)=239.304347826
n=47 e=1.53191489362(n-3).(e+4)=243.404255319
n=48 e=1.5(n-3).(e+4)=247.5
n=49 e=1.4693877551(n-3).(e+4)=251.591836735
n=50 e=1.44(n-3).(e+4)=255.68
n=51 e=1.41176470588(n-3).(e+4)=259.764705882
n=52 e=1.38461538462(n-3).(e+4)=263.846153846
n=53 e=1.35849056604(n-3).(e+4)=267.924528302
n=54 e=1.33333333333(n-3).(e+4)=272
n=55 e=1.30909090909(n-3).(e+4)=276.072727273
n=56 e=1.28571428571(n-3).(e+4)=280.142857143
n=57 e=1.26315789474(n-3).(e+4)=284.210526316
n=58 e=1.24137931034(n-3).(e+4)=288.275862069
n=59 e=1.22033898305(n-3).(e+4)=292.338983051
n=60 e=1.2(n-3).(e+4)=296.4
n=61 e=1.18032786885(n-3).(e+4)=300.459016393
n=62 e=1.16129032258(n-3).(e+4)=304.516129032
n=63 e=1.14285714286(n-3).(e+4)=308.571428571
n=64 e=1.125(n-3).(e+4)=312.625
n=65 e=1.10769230769(n-3).(e+4)=316.676923077
n=66 e=1.09090909091(n-3).(e+4)=320.727272727
n=67 e=1.07462686567(n-3).(e+4)=324.776119403
n=68 e=1.05882352941(n-3).(e+4)=328.823529412
n=69 e=1.04347826087(n-3).(e+4)=332.869565217
n=70 e=1.02857142857(n-3).(e+4)=336.914285714
n=71 e=1.01408450704(n-3).(e+4)=340.957746479

Solution in text n =

Try another example






Leave us a comment of example 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 example are needed these knowledge from mathematics:

Looking for help with calculating roots of a quadratic equation? Do you have a system of equations and looking for calculator system of linear equations? Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

Next similar examples:

  1. 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?
  2. 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?
  3. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  4. Quadratic equation
    kvadrat_2 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
  5. Savings
    penize_29 Paul has a by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have 3 boys together?
  6. 925 USD
    money_22 Four classmates saved an annual total 925 USD. The second save twice as the first, third 35 USD more than the second and fourth 10 USD less than the first. How USD save each of them?
  7. Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  8. 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 m
  9. Discriminant
    Quadratic_equation_discriminant Determine the discriminant of the equation: ?
  10. 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.
  11. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  12. Equation
    calculator_2 Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
  13. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  14. 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.
  15. 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?
  16. Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
  17. Alice
    usd_10 Alice spent 5/11 of her money on a back pack. She has $42 dollars left. How much was her back pack?