Answered

En una reunión social hay 250 personas de los cuales 100 son varones y el resto mujeres.
¿Cuántas parejas deben retirarse para que el número de varones y mujeres que quedan en la
reunión, estén en proporción de 1 a 2?

Verified Answer :

GinnyAnswer

Final answer:

To achieve a 1:2 ratio of men to women at the social gathering, a specific number of couples must leave. Determining this number requires setting up and solving an equation based on the current ratio of men to women.


Explanation:

To have the remaining men and women in a 1:2 ratio, we first need to determine the current ratio of men to women at the gathering. Since there are 100 men and the rest are women, we have 100:((250-100)=150) or 2:3 men to women. For a 1:2 ratio, the total parts would be 1+2=3 parts. If we remove x couples (2x individuals) from the gathering, the ratio becomes (100-x):(150-2x). Setting this equal to 1:2 gives us the equation (100-x)/(150-2x) = 1/2. Solving this equation will give us the number of couples that need to leave for the ratio to be 1:2.


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