Question

90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie.
Altogether 3/5 of the people said Yes. 3/10 of the women said Yes. What percentage of the men said No?

Answer 1

Answer:

Step-by-step explanation:

Total number of Men = 90

Total number of Women =  60

total number of people = 90 + 60 = 150.

Number of people who said yes = 3/5 of total = 3/5 * 150 = 90.

Number of women who said yes = 3/10 of total women = 3/10 * 60 = 18.

So the total number of men who said yes = Total number of people who said Yes - Number of women who said yes = 90 - 18 = 72.

Number of Men who said No = Total number of Men - total number of Men who said yes = 90 - 72 = 18.

Thus percentage of men who said No = 18/90 * 100 = 20%.

Answer 2

Given:

No. of men = 90

No. of women = 60

Fraction of people who watched the movie = $\frac{3}{5}$

Fraction of women who watched the movie = $\frac{3}{10}$

To find:

The percentage of men who didn't watch the movie.

Solution:

Let $M$ represent men and $W$ represent women. Then,

total no. of people = no. of men + no. of women

No. of people = $90+60=150$

If $\frac{3}{5}$ of the people watched the movie, then to determine the no. of people who watched the movie , we multiply $\frac{3}{5}$ with $150$.

No. of people who watched the movie = $\frac{3}{5}*150=90$

∴ $90$ people watched the movie.

Out of the $150$ people, $90$ people watched the movie. To determine the no. of people who didn't the watch the movie, subtract the no. of people who watched the movie from the total no. of people, i.e.,

No. of people who didn't watch the movie = Total no. of people - No. of people who watched the movie

No. of people who didn't watch the movie = $150-90=60$

∴ $60$ people didn't watch the movie.

If $\frac{3}{10}$ of the women watched the movie, then to determine the no. of women who watched the movie , we multiply $\frac{3}{10}$ with $60$.

No. of women who watched the movie = $\frac{3}{10}*60=18$

∴ $18$ women watched the movie.

Out of the $60$ women, $18$ women watched the movie. To determine the no. of women who didn't watch the movie, subtract the no. of women from the total no. of women.

No. of women who didn't watch the movie = Total no. of women - No. of women who watched the movie

No. of women who didn't watch the movie = $60-18=42$

∴ $42$ women didn't watch the movie.

$60$ people didn't watch the movie out of which $42$ are women. The total no. of people who didn't watch the movie is the sum of men and women who didn't watch the movie.

To determine the no. of men who didn't watch the movie, subtract the no. of women from the no. of people who didn't watch the movie.

No. of men who didn't watch the movie = No. of people who didn't watch the movie - No. of women who didn't watch the movie

No. of men who didn't watch the movie = $60-42=18$

∴ $18$ men didn't watch the movie.

To calculate the percentage of men who didn't watch the movie, divide the no. of men who didn't watch the movie with total no. of men and multiply the result with $100$.

Percentage of men who didn't watch the movie = (No. of men who didn't watch the movie/Total no. of men) × 100

Percentage of men who didn't watch the movie = $\frac{18}{90}*100=20 percent$

∴ 20% of men didn't watch the movie.

Out of 90 men and 60 women, 20% of men did not watch the movie 'Expendables'.