Barrels

Peter has 42 barrels. One-sixth of them are filled with lemonade, one third is filled with wine and half is empty. Calculate how many barrels are with each filling.

Result

a =  7
b =  14
c =  21

Solution:

n=42 a=16⋅ n=16⋅ 42=7n=42 \ \\ a=\dfrac{ 1 }{ 6 } \cdot \ n=\dfrac{ 1 }{ 6 } \cdot \ 42=7
b=13⋅ n=13⋅ 42=14b=\dfrac{ 1 }{ 3 } \cdot \ n=\dfrac{ 1 }{ 3 } \cdot \ 42=14
c=12⋅ n=12⋅ 42=21 x=16+13+12=1c=\dfrac{ 1 }{ 2 } \cdot \ n=\dfrac{ 1 }{ 2 } \cdot \ 42=21 \ \\ x=\dfrac{ 1 }{ 6 } + \dfrac{ 1 }{ 3 } + \dfrac{ 1 }{ 2 }=1

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Farmers 2
    tomato On Wednesday the farmers at the Grant Farm picked 2 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
  2. Zdeněk
    tanks_3 Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
  3. Write 3
    plusminus Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
  4. Expressions with variable
    plusminus This is algebra. Let n represent an unknown number and write the following expressions: 1. 4 times the sum of 7 and the number x 2. 4 times 7 plus the number x 3. 7 less than the product of 4 and the number x 4. 7 times the quantity 4 more than the n
  5. Withdrawal
    penize_13 If I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have in left in my savings?
  6. Pizza 4
    pizza_6 Marcus ate half pizza on monday night. He than ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza marcus ate in total?
  7. Scouts 4
    1957-4a 4/7 of the students in a school are boys. If 3/8 of the boys are scouts, how many scouts are there in a school of 1878 students?
  8. Notebooks
    Notebook_1 Liza a store owner buys 560 notebooks. He sold 3/8 of the notebook then she adds the stocks of notebook of 1/4 of the number of notebooks she bought. What is the total number of notebook she bought?
  9. Sum of fractions
    fractions_8 What is the sum of 2/3+3/5?
  10. Pie
    pie_1 Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat?
  11. Cupcakes 2
    cake_4 Susi has 25 cupcakes. She gives 4/5. How much does she have left?
  12. Adding mixed numerals
    zlomky_18 3 3/4 + 2 3/5 + 5 1/2 Show your solution.
  13. Fraction and a decimal
    numbs_11 Write as a fraction and a decimal. One and two plus three and five hundredths
  14. Lengths of the pool
    bazen2_16 Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?
  15. The ketchup
    tomato If 3 1/4 of tomatoes are needed to make 1 bottle of ketchup. Find the number of tomatoes required to make 4 1/5 bottles
  16. Fractions 3
    fractions_9 Calculate 1/9 of 27:
  17. Classroom 4
    skola_1 In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys?