Marriage sttus

In our city, there are 3/5 of the women married to 2/3 of the men. Find what part of the population is free.

Correct answer:

p =  0.3684

Step-by-step explanation:

$$\begin{gathered} z=3000 \\ 3\mathrm{/}5\cdot z=2\mathrm{/}3\cdot m \\ z=3000 \\ 10m-9z=0 \\ m=2700 \\ z=3000 \\ v=3\mathrm{/}5\cdot z=3\mathrm{/}5\cdot 3000=1800 \\ p={\displaystyle \frac{m+z-2\cdot v}{m+z}}={\displaystyle \frac{2700+3000-2\cdot 1800}{2700+3000}}={\displaystyle \frac{7}{19}}=0.3684 \end{gathered}$$

Try another example

Related math problems and questions:

• Freedom
  In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number.
• The city
  In the city is 2/4 of women married to 3/4 men. What percentage of townspeople is single (not married)?
• The building
  There are 45 people living in building, out of these 3/5 are men,2/5 are women . find the number of men and women in the building.
• Two fifth
  Two fifth of the worker in a factory are men. The rest are women. If there 28 men . how many more women than men are there?
• Find unknown 2
  Find unknown denominator: 2/3 -5/? = 1/4
• What is 9
  What is the value of x in the proportion 2 and one-fourth over x = 1 and one-half over 3 and three-fifths? 2 and two-fifths 5 and two-fifths 8 and 1 over 10 12 and 3 over 20
• Two thirds
  Two thirds of the unknown number is 8/7. What is 7/3 of this number?
• If-then equation
  If 1/2 + 2/5s = s - 3/4 what is the value of s?
• Together
  If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)
• Two numbers 11
  The sum of two rational numbers is (-2). If one of them is 3/5, find the other.
• Even / odd numbers
  a / Using variable n write two consecutive odd numbers. b / the sum of three consecutive odd numbers is 333. What are this numbers?
• Fractions and mixed numerals
  (a) Convert the following mixed numbers to improper fractions. i. 3 5/8 ii. 7 7/6 (b) Convert the following improper fraction to mixed number. i. 13/4 ii. 78/5 (c) Simplify these fractions to their lowest terms. i. 36/42 ii. 27/45 2. evaluate following ex
• Value of expression
  X=2, y=-5 and z=3 what is the value of x-2y?
• Interior angles
  Calculate the interior angles of a triangle that are in the ratio 2: 3: 4.
• Orchard
  3/5 of the trees in the orchard are apples, 1/3 are cherries and the remaining five trees are pear. How many trees are in the orchard?
• Trip
  On the trip drank 3/10 of pupils tea, 2/5 cola, 1/4 mineral water and remaining 3 juice. How many students were on the trip?
• Ratio of volumes
  If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?