Gold inheritance

The king divided the inheritance with his three sons in the ratio of 7: 6: 4. Two of them received 286,000 gold. How much each of the sons got.

Correct answer:

a =  154000
b =  132000
c =  88000

Step-by-step explanation:

k1=77+6+4=7170.4118 k2=67+6+4=6170.3529 k3=47+6+4=4170.2353  t=286000  z=t/(k1+k2)=286000/(0.4118+0.3529)=374000 a=z k1=374000 0.4118=154000
b=z k2=374000 0.3529=132000
c=z k3=374000 0.2353=88000

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

Related math problems and questions:

  • Ducats
    dukat The king divided the ducats to his three sons in a ratio of 2: 5: 4. How many ducats the king divided them if the youngest received 260 ducats, the least of all sons.
  • The inheritance
    mince Dad originally decided to bequeath the money to his two sons so that they would share it 8: 7 (older and younger). Then he changed his mind and divided the same amount in the ratio 11: 9 (older and younger). This increased the value of the inheritance for
  • Together
    balls2 The three friends divided the balls in a ratio of 6: 5: 4. Some two of them got a total of 126 balls. How many balls were there together?
  • Four friends
    money_10 Four friends shared the money. Vasek got 1/4 of the total amount. Tonda received 1/3 of the rest of the money, Joe got a half from the second residue and Jirka left 80. How much money get together?
  • The King
    gold_4 The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?
  • Two brothers
    mapa_ta3_3 The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m2 in a ratio of 5:4. How many will everyone get?
  • Four pupils
    four_digit Four pupils divided $ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth, and fourth $ 154 less than the first. How much money had each of them?
  • Proportion 3
    apples For every 8 mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there?
  • The devils
    cert The devils weighed in hell with Dorota. They found that Dorota and the two devils weigh 250 kg together, and Dorota and the four devils weigh 426 kg. All the devils weigh the same. How Much Does Dorota Weigh?
  • Euros
    fractal_1 Michal, Peter, John and Lenka got together 2,400 euros. They share an amount in ratio 2:6:4:3. How many got each of them?
  • Eight masons
    time Eight masons will plaster a wall with an area of 1440 m2 in 9 days. They work 8 hours a day. How much area will plaster 6 masons in 4 hours?
  • Triangle in circle
    triangle_in_circle Vertices of the triangle ABC lies on a circle with radius 3 so that it is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
  • Apples
    jablka_17 School kitchen bought 36kg apples for 12 kc/kg. How many kilograms of apples 1/4 cheaper can they buy for the same money?
  • Three numbers
    fun3_8 The sum of the three numbers is 287. These numbers are in a ratio of 3: 7: 1/4. Find these numbers.
  • Six workers
    workers Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do 7 workers earn in 10 days with the same daily average salary?
  • Division
    bonbons Three siblings Helena, Oliver and George split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in bag were 88?
  • Oranges
    pomaranc_2 Mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?