Contestants

The three best contestants are to divide the total prize of CZK 4,200. The second gets 20% more than the third. And the first one gets 200 CZK less than the second and the third together. How much will everyone get?

Correct answer:

a =  2000
b =  1200
c =  1000

Step-by-step explanation:


a+b+c= 4200
b = c+0.20c
a = (b+c)-200

a+b+c= 4200
b = c+0.20•c
a = (b+c)-200

a+b+c = 4200
b-1.2c = 0
a-b-c = -200

a = 2000
b = 1200
c = 1000

Our linear equations calculator calculates it.



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






avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?

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

Related math problems and questions:

  • Reward
    percents_4 Three workers shared a common reward 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much got each worker?
  • Repairing
    penize_49 Three employees earned a total of € 469 for repairing the equipment. They split so that the first got 20% more than the second, and the third 15% more than the second. How many euros did everyone get?
  • Remuneration
    cnb Total remuneration for workers is 47 000 CZK. The second worker received 20% more than the first and third 4000 CZK less than a second employee. How many CZK each received?
  • Dividing money
    penize_33 Thomas, Honza and Vasek are to divide 1220kč. Honza got 25% more than Thomas. Vasek 20% less than Thomas. How CZK each got?
  • Part-time workers
    mince_3 Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
  • Three workers
    eura_21 The three workers received € 2,850 together for the work done. They divided them according to the time worked so that the first received 20% less than the second and the third € 50 more than the second. How much EUR did each worker receive?
  • Three friends
    pizza_4 Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone?
  • The business
    penize The business earned CZK 98,400 in the shop in three weeks. In the second week, sales were 20% higher than the first week. The third week was 10% lower than the second week. How much did business earn in each week?
  • Siblings
    tri-sourozenci Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka 10% less than Peter. How much money did they save each one of them?
  • 3 goods
    3veci Ms. Beránková bought in the shop 3 goods. Total paid for the purchase was 248 CZK. The first thing was 112 CZK and second 101 CZK. How much was the third thing?
  • 3 masons
    cnb_1 Three masons received 7,700 CZK. The second half received 1/2 more than the first and third twice more than the second mason. How much they each got crowns?
  • Three friends
    money_19 Three friends divided the profit 104,650 CZK, so that for every 4 CZK, which got the first friend equals 5 crowns for second and for every 9 CZK, which got the second equals 16 CZK for third. Question: Who got the most and how much.
  • Three piles
    sugar 100 kg of sugar we divide into three piles. The first pile is small. If we added to second 2 kg of sugar it would have 25% more sugar than the first pile. If we added to third pile 3 kg of sugar it would have 20% more sugar than the 2nd pile. How many kil
  • Average monthly salary
    penize A total of 10 teachers work at one small school in Moravia. The monthly salary of each is 21,500 CZK or 21,800 CZK or 22,500 CZK according to their education and age. The average monthly salary for this school's teacher is 21 850 CZK. How many teachers of
  • Crowns
    money_4 1180 crowns are divided into three people: A got 20% less than B and C by 15% more than B. How many got A, B, and C?
  • Sweets
    Caramelos We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How much of these two types of candy is necessary to prepare this mixture?
  • Percents from percent
    percent_1 How much is 13% of 20% of 500 greater than 8% of 14% of 200?