SOLUTION: The ratio of males to females at a meeting is 7:4. There are 140 females at the meeting. How many people are at the meeting? A. 245 B. 372 C. 385 D. 770 E. none of these

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of males to females at a meeting is 7:4. There are 140 females at the meeting. How many people are at the meeting? A. 245 B. 372 C. 385 D. 770 E. none of these      Log On


   

Question 243156: The ratio of males to females at a meeting is 7:4. There are 140 females at the meeting. How many people are at the meeting?
A. 245
B. 372
C. 385
D. 770
E. none of these
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
There are 7 males for every 4 females.

The ratio is 7/4 = 1.75 males for every female.

Multiply the number of females by 1.75 and you get 140 * 1.75 = 245

There are 245 males and 140 females.

You could also have multiplied by 7/4 directly.

7/5 * 140 = 980/4 = 245

There are 140 / 4 = 35 sets of 4 females each.

There are 245 / 7 = 35 sets of 7 males each.

This is just another confirmation that the ratio is true.

If you divide males and females each by 35 you will get 7 males and 4 females.