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?

Correct answer:

H =  30
A =  36
T =  45

Step-by-step explanation:

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

h+a+t = 111
6•h = 5•a
5•a = 4•t

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

a = 36
h = 30
t = 45

Our linear equations calculator calculates it.

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


Tips to related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Birds
    krocani On the farm they have a total of 110 birds. Geese and turkeys together is 47. Hens is three times more than the turkey. How much is poultry by species?
  • Trio ratio
    minca Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
  • Moneys in triple ratio
    peniazky Milan, John and Lili have a total 344 euros. Their amounts are in the ratio 1:2:5. Determine how much each of them has?
  • Divide money
    zlomky Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
  • Trio
    work Trio of workers earn 750 euros. Money divided by the work that each of them made​​. First received twice as the second, the second received three times more than the third. How many got everyone from workers?
  • Buns and toasts
    vaha Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh?
  • Find the 6
    pc_smile Find the total cost of 10 computers at $ 2100 each and 7 boxes of diskettes at $12 each
  • Dividing money
    mince Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem.
  • Cooks
    kucharky Four cooks cleaned 5 kg of potatoes for 10 minutes. How many cook would have to work clean 9 kg of potatoes for 12 minutes?
  • Gardens
    garden The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens?
  • Monthly payments
    elektrina Novákovi pay for electricity and monthly pays at the end of the year still bill 34 USD. Total per year pay 618 USD. What were their monthly payments?
  • Theater
    SND The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In the next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater?
  • Ratios
    gule Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8
  • Chocolate
    cokolada How many times do we have to break a chocolate bar composed of 10 × 12 pieces to get the 120 parts?
  • Popsicles
    nanuky Francis went to buy ice lollies. If he buy 8 popsicles he missed 4 USD. When he buy 7 popsicles, got back 1 USD. How many USD was a popsicle?
  • Cents
    cents Julka has 3 cents more than Hugo. Together they have 27 cents. How many cents has Julka and how many Hugo?
  • The store
    carot The store received the same number of cans of peas and corn. The first day sold 10 cans of peas and 166 cans of corn to leave 5 times more peas than corn cans. How many cans of each kind were in the store?