Question

In a survey , rajveer asked 110 people whether they were employed or unemployed.

Rajveer asked 59 men and the rest were women.
Of the 84 people who responded that they were employed, 40 were men.

How many women responded that they were unemployed ?

Answer 1

7

Explanation:

Create a two-way table with the given information:

`\begin{array} c \cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & & 59 \\\cline{1-4} \sf Women & & & \\\cline{1-4} \sf Total & 84 & & 110 \\\cline{1-4} \end{array}`

Fill in the blanks in the table using mathematical operations:

⇒ Men unemployed = 59 - 40 = 19

⇒ Women employed = 84 - 40 = 44

⇒ Total women = 110 - 59 = 51

⇒ Total unemployed = 110 - 84 = 26

⇒ Women unemployed = 51 - 44 = 7

`\begin{array} c \cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & 19 & 59 \\\cline{1-4} \sf Women &44 & 7& 51 \\\cline{1-4} \sf Total & 84 &26 & 110 \\\cline{1-4} \end{array}`

Reading from the table, 7 women responded that they were unemployed.