Three piles

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 kilograms of sugar are on each pile?

Correct answer:

a =  28.64
b =  33.8
c =  37.56

Step-by-step explanation:


a+b+c=100
b+2 = 1.25 a
c+3 = 1.20 b

a+b+c=100
b+2 = 1.25•a
c+3 = 1.20•b

a+b+c = 100
1.25a-b = 2
1.2b-c = 3

a = 716/25 = 28.64
b = 169/5 = 33.8
c = 939/25 = 37.56

Our linear equations calculator calculates it.

Try another example


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 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:

  • Acid evaporation
    roztoky How many kilograms of water do we have to evaporate from 100 kg of 32% acid to make it 80% concentration?
  • Fruit juice
    cukr Fruit juice contains 37.5% sugar. How many percents of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg)
  • Barrel of oil
    dieselbarrel Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel?
  • Sugar 9
    cukr 150 kg of sugar beet yields 24 kg of sugar. From how many tons of sugar beet can be obtained three tons of sugar?
  • The water barrel
    sud_h2o The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
  • Sugar
    cukr Sugar factory produced 127 tons of sugar in 1 day at 14% sugar content . How many tons of pure beet sugar factory processed in 1 day?
  • Grams
    chemia How many grams of 5% solution do we need to add to 100g of 50% solution to get a 20% solution?
  • Barrel 4
    sudy Barrel of water weighs 63 kg. After off 75% water, the weight of the barrel with water is 21 kg. How many kg weigh empty barrel and how many kgs water in it?
  • Cargo
    kon-povoz The weight of the cargo car is 761 kg. The weight of the car is 23% of the total weight of car+cargo. What is the weight of the cargo load?
  • Alcohol mixture
    roztoky From 55% and 80% alcohol, we have to produce 0.2 kg of 60% alcohol. How many of them do we use in the solution?
  • Spirit
    lieh From 55% and 80% spirit we would like to produce 0.2 kg of 60% spirit. How many of them we must use in a solution?
  • Collecting
    papir For the first week of material collection events are picked up at the school 850 kg of paper and 305 kg of rags which represented 55% of total collection for 14 days. How many kilograms of secondary raw materials were handed over totally?
  • Mixture of coffee
    cofee They have to prepare a mixture of coffee in packing centres so that 1 kg costs 240 CZK. There are two types of coffee in stock at the price of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of t
  • Purchase
    cart Mother bought 5 boxes of milk and 7 kg of potatoes and paid a total CZK 147. Aunt bought 7 boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How CZK together would have saved if bought at th
  • Barrel 3
    sud-s-vodou Barrel with water has a weight 118 kg. When we get off 75% of water it has a weight 35 kg. How many kg has empty barrel?
  • Mushrooms
    hriby Fresh mushrooms contain 88% water, dried 14% water. How many kilograms of fresh mushrooms should be collected to get 3 kg of dried?
  • 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?