Cups

We have three cups. In the cups we had fluid and boredom we started to shed.

1 We shed one-third of the fluid from the second glass into the first and third.
2 Then we shed one quarter cup of liquid from the first to the second and to the third.
3 Then we shed one-fifth of the liquid from the third to the first cup and to the second.

Finally remained 8, 10 and 7 dl fluids in cups. How many dl of liquid was in the cups originally?

Correct answer:

a =  6.5 dl
b =  14.5 dl
c =  4 dl

Step-by-step explanation:

d=a+b/3
e=b/3
f = c+b/3
k = d/2
l = e+d/4
m = f+d/4
x = k+m/5
y = l+m/5
z = m •3/5
x=8
y=10
z = 7

3a+b-3d = 0
b-3e = 0
b+3c-3f = 0
d-2k = 0
d+4e-4l = 0
d+4f-4m = 0
5k+m-5x = 0
5l+m-5y = 0
3m-5z = 0
x = 8
y = 10
z = 7

a = 13/2 = 6.5
b = 29/2 = 14.5
c = 4
d = 34/3 ≈ 11.333333
e = 29/6 ≈ 4.833333
f = 53/6 ≈ 8.833333
k = 17/3 ≈ 5.666667
l = 23/3 ≈ 7.666667
m = 35/3 ≈ 11.666667
x = 8
y = 10

Our linear equations calculator calculates it.

Try another example

Related math problems and questions:

• Solution
  In 469 dl red solution is 84 dl red color and in 102 dl blue solution is 52 dl blue color. How many dl of red and blue dl color solution must be mixed to get a mixture of 247 dl contain 116 dl of color?
• Apples 2
  How many apples were originally on the tree, if the first day fell one third, the second day quarter of the rest and on tree remained 45 apples?
• Sales stores
  The first sales store passed the 1/3 and the second 2/5 of the total amount of goods.In third store passed the 2/3 rest of the goods. The remaining 40 kg of goods put into fourth store. How many kilograms of goods pass to a third store?
• Boxes
  200 boxes have been straightened in three rows. The first was 13 more than in the second, and in the second was one fifth more than in the third one. How many boxes are in each row?
• Glass with icecream
  We have 6 kinds of ice cream and 5 kinds of fruit. We put 3 cups of ice cream and 2 fruits into each glass. How many can unique decorated glasses be?
• Certificate
  There is 31 students in a class. From mathematics was'nt worse mark than 2. Average mark in mathematics was 2. How many students have mark 1 and how many mark 2?
• Ravens
  On two trees sitting 17 ravens. If 3 ravens flew from first to second tree and 5 ravens took off from second tree then the first tree has 2 times more ravens than second tree. How many ravens was originally on every tree?
• Two numbers
  The sum of two numbers is 1. Identify this two numbers if you know that the half of first is equal to the third of second number.
• Stamps and albums
  Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second and in the second is by 1/5 less than in the third. How many stamps are in the first album?
• Alloy
  The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to
• Two numbers
  We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
• Three numbers
  What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8.
• Milk
  There were 22 liters of milk in three containers. There was 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third container.
• Shop stores
  Workers untied fruit to stores. In the first quarter shipments, in the second fifth shipment, in the third two-fifths of the rest and in the fourth 231 kilograms. How many fruits were together?
• Patel
  Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, StartFraction 9 over 20 E
• Three workers
  The company rewarded three workers CZK 9200, and the money was divided by the work they have done. The first worker to get twice than the second, the second three times more than the third. How much money did each worker receive?
• Apartments
  Apartment on the first floor was 10% more expensive than the same apartment on the second floor. The difference was 105 Kc annually. Calculate the annual rent of the apartment in the first floor and from apartment on the second floor.