Honza + Alice + Tonda

Honza + Alice + Tonda have a total of 111 USD. The ratio between Honza and Alena is 5:6 and the ratio between Alice and Tonda is 4:5

How many money have each of them?

Result

H =  30
A =  36
T =  45

Solution:


h+a+t = 111
6h = 5a
5a = 4t

a+h+t = 111
5a-6h = 0
5a-4t = 0

a = 36
h = 30
t = 45

Calculated by our linear equations calculator.







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




Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar examples:

  1. Train
    vlak_meskajuci The train passes part of the line for 95 minutes at speed 75 km/h. What speed would have to go in order to shorten the driving time of 20 minutes?
  2. Money 6
    penize_41 Lita had some money. She spent 1/2 of it on a hand bag and 1/3 of the remainder of the blouse. She had 260.00. How much money did she have at start?
  3. Quiz
    quiz Tested student answered correctly on a 4/ 8 questions. Wrong answers was 16. How many questions answered?
  4. Far country
    dukat_2 In a country far away, the value of 3 pesos is 12 centavos more than the value of 1 peso. How many centavos is 1 peso worth?
  5. Purchase
    supermarket Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros paid each of them?
  6. Toys
    obruce-a-svihadla The toy shop sold the same number of balls for 62 CZK and skipping ropes for 34 CZK. They income was 576 CZK. How many sold balls and how many skipping ropes?
  7. Norm
    rajcata Three workers planted 3555 seedlings of tomatoes in one dey. First worked at the standard norm, the second planted 120 seedlings more and the third 135 seedlings more than the first worker. How many seedlings were standard norm?
  8. Benches
    garden_13 The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
  9. One frame
    room_1 5 picture frames cost € 12 more than three frames. How much cost one frame?
  10. Negative in equation
    eq1_7 2x + 3 + 7x = – 24, what is the value of x?
  11. Find x
    eq222_23 Solve: if 2(x-1)=14, then x= (solve an equation with one unknown)
  12. Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18
  13. Eq1
    eq1_3 Solve equation: 4(a-3)=3(2a-5)
  14. If-then equation
    triangles_10 If 5x - 17 = -x + 7, then x =
  15. Addition of Roman numbers
    roman Added together and write as decimal number: XXXIV + MDCCXII
  16. Unknown number 11
    numbers_33 That number increased by three equals three times itself?
  17. Dropped sheets
    books_26 Three consecutive sheets dropped from the book. The sum of the numbers on the pages of the dropped sheets is 273. What number has the last page of the dropped sheets?