Operations with sets

The set B - A has twice as fewer elements than the set A - B and four times fewer elements than the set A ∩ B. How many times more elements does the set A have than the set B?

Correct answer:

k =  1.2

Step-by-step explanation:

BA=n AB=2n AB=4n  k=A/B k=ABABBAAB  k=2n+4nn+4n  k=2+41+4=65=115=1.2

We will be pleased if You send us any improvements to this math problem. Thank you!


You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Two sets
    venn_intersect Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 124. If the Sets A and B have 29 elements in common, how many elements are contained in set A?
  • Subtracting sets
    venn_intersect_1 For two sets K, L is true: K has 30 elements, L has 27 elements and the set L - K has 22 elements. How many elements does the set K - L have?
  • Disjoint
    sets How many elements have union and intersection of two disjoint sets when the first have 1 and secodn 8 elements.
  • Count of roots
    eggs How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
  • Glasses
    class Imagine a set of students in your class (number of students: 19), who wears glasses. How much minimum and maximum element may contain this set.
  • The average
    average The average of one set of 4 numbers is 35. The average of another set of number is 20. The average of the numbers in the two sets is 30. How many numbers are there in the other set?
  • One million
    million Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions.
  • Two unknown numbers
    numbers_49 One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
  • Email hoard
    listky_1 Kendrick received 24 fewer e-mails on Friday than he did on Thursday. If he received a total of 126 e-mails on those two days, how many did he get on each day?
  • Diofant 2
    1diofantos Is equation ? solvable on the set of integers Z?
  • Three excursions
    venn_three Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan
  • Combinations
    kvadrat_3 If the number of elements increase by 3, it increases the number of combinations of the second class of these elements 5 times. How many are the elements?
  • Subsets
    venn5 How many 19 element's subsets can be made from the 26 element set?
  • Fewer than 500 sheep,
    sheep-500 There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five, and sixth-order, one sheep will remain. But they can stand in the seventh order. How many are sheep?
  • Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  • Number of songs
    notes Write an expression for the number of songs they need for this show. Evan and Peter have a radio show that has 2 parts. They need 4 fewer than 11 songs in the first part. In the second part, they need 5 fewer than 3 times the number of songs in the first
  • Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.