Question

There are 144 people in the movie theater. The ratio of men to women is 5 to 4. How many men and women are in the theater

Answer 1

80 men and 64 women

Explanation:

since you know the ratio is 5 men: 4 women, you can add 5 and 4 to get 9, and you can then do 144/9, which is 16. Then, you want to multiply 16 by 5 for the number of men, and 16 x 4 for the number to women, which is 80 men and 64 women.

Hope this helped :)

Answer 2

`\huge\boxed{\text{Number of men=80}}`

`\huge\boxed{\text{Number of women=64}}`

Explanation:

To work out the number of men and women at the theatre, we first need to find the sum of the parts of the ratio 5:4, giving us 9.

The next step is to find the value of one part of the ratio by dividing the total number of people of 144 by 9, giving us 16. From this, we know that one part of the ratio is equivalent to 16 people.

To find the number of men at the theatre, we would multiply the value of one part of 16 by the number of parts specifically allocated for men, which is 5. This gives us a total of 80 men present at the theatre.

The number of women can also be determined by multiplying the value of one part of 15 by the number of parts allocated to women, which is 4, giving us a total of 64 women at the theatre.

Step-by-step calculations:

1) Finding the sum of the parts of the ratio.

`\bold{5+4=9}`

2) Finding the value of one part.

`\bold{(144)/(9)=16}`

3) Finding the number of men.

`\bold{16*5=80}`

4) Finding the number of women.

`\bold{16*4=64}`