# 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?

Correct result:

a =  115
b =  161
c =  69
d =  92

#### Solution:

$k=\dfrac{ 437 }{ 5+7+3+4 }=23 \ \\ a=5 \cdot \ k=5 \cdot \ 23=115$
$b=7 \cdot \ k=161$
$c=3 \cdot \ k=69$
$d=4 \cdot \ k=92$

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!

Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 1 comment:
Math student
wrong

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

## Next similar math problems:

• Lengths of the pool
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?
• Passenger boat
Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?
• Teacher
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?
• Division of money
Calculate how many euros have Matthew, Miriam, Lucy, Michael, Janka when together have 2,700 euros and the amounts are at a ratio of 1:5:6:7:8.
• Barter
There is exchange trade on the market. We know that for two sheepskins we get three goat skins. We also know that for six rabbits skins we get four goat skins. How many rabbit's skins we get for four sheepskins?
• Andre
Andre, Thomas, and Ivan split 88 postage stamps in a 2:5:4 ratio. How much did Thomas get?
• Zdeněk
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.
• In fractions
An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
• Mixed2improper
Write the mixed number as an improper fraction. 166 2/3
• Fraction to decimal
Write the fraction 3/22 as a decimal.
• Write 2
Write 791 thousandths as fraction in expanded form.
• Ratio 11
Simplify this ratio 10 : 1/4
• Cupcakes 2
Susi has 25 cupcakes. She gives 4/5. How much does she have left?
• Fraction and a decimal
Write as a fraction and a decimal. One and two plus three and five hundredths
• Withdrawal
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?
• Pizza 4
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?
• Evaluate expression
Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2