Ornamental shrubs

Children committed to plant 240 ornamental shrubs. Their commitment however exceeded by 48 shrubs. Write ratio of actually planted shrubs and commitment by lowest possible integers a/b.

Result

a =  6
b =  5

Solution:

x=240 y=x+48=240+48=288 288=25⋅32 240=24⋅3⋅5 GCD(288,240)=24⋅3=48  d=GCD(y,x)=GCD(288,240)=48 a=y/d=288/48=6x=240 \ \\ y=x+48=240+48=288 \ \\ 288=2^5 \cdot 3^2 \ \\ 240=2^4 \cdot 3 \cdot 5 \ \\ \text{GCD}(288, 240)=2^4 \cdot 3=48 \ \\ \ \\ d=GCD(y,x)=GCD(288,240)=48 \ \\ a=y/d=288/48=6
b=x/d=240/48=5b=x/d=240/48=5

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
Do you want to calculate greatest common divisor two or more numbers?
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.

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

Next similar math problems:

  1. Sponsor
    tenis_2 The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they were answered: "You have so many that none of you will have more than 10 balls and all will have the same numbe
  2. Teacher
    cake Teacher Rem bought 360 pieces of cupcakes for the outreach program of their school. 5/9 of the cupcakes were chocolate flavor and 1/4 wete pandan flavor and the rest were a vanilla flavor. How much more pandan flavor cupcakes than vanilla flavor?
  3. Fraction to decimal
    decimals Write the fraction 3/22 as a decimal.
  4. Ratio 11
    zlomky_7 Simplify this ratio 10 : 1/4
  5. Runners
    metals For three runners (on the first to third place) is prepared 30 chocolate that they be distributed in the ratio of 3 : 2 : 1 How much chocolate will get everyone?
  6. Pizza 5
    pizza_8 You have 2/4 of a pizza and you want to share it equally between 2 people how much pizza does each person get?
  7. 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?
  8. 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?
  9. 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.
  10. Almonds
    almonds Rudi has 4 cups of almonds. His trail mix recipe calls for 2/3 cup of almonds. How many batches of trail mix can he make?
  11. Points
    points Gryffindor won 437 points. How many points obtained by each of the faculties if they were split at a ratio of 5: 7: 3: 4?
  12. Building
    wood_3 At the building, we divided 240 boards into two piles in a 5: 3 ratio. How many were fewer boards in the lower pile?
  13. Product of two fractions
    numbers_47 Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction.
  14. Write decimals
    numbers_34 Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
  15. Divide money
    zlomky Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
  16. 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?
  17. Write 2
    fractions_12 Write 791 thousandths as fraction in expanded form.