Party Pooper

Algebra Level 2

Out of 95 95 people present at the party, 60 60 were graduates and 35 35 were employed. Total number of men present at the party was 55 55 , and all of them were graduates. If 50 50 % of the women at the party were employed, then the ratio of employed graduate women unemployed men \frac{\text{employed graduate women}}{\text{unemployed men}} is:

None of These 2 11 \frac{2}{11} 1 3 \frac{1}{3} Not greater than 1 8 \frac{1}{8} 1 2 \frac{1}{2}

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1 solution

A hierarchy diagram always helps. If you were to divide 95 people into men and women first, you would become confused. Therefore, always choose your parameters for branching out carefully.

Hence, we land up with the maximum possible ratio: Employed Graduate Women Unemployed Men \frac{\text{Employed Graduate Women}}{\text{Unemployed Men}} = 5 ( 55 − 15 ) \frac{5}{(55-15)} = 1 8 \frac{1}{8}

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