Question 855784: The ratio of males to females in a race is 7:5. If there are 144 runners, how many are female? Please show work. Found 2 solutions by brysca, ewatrrr:Answer by brysca(112) (Show Source):
You can put this solution on YOUR website! If the ratio is 7:5 this means for every 7 males there are 5 females, yes?
In simplest terms, this means in a group of 7 males and 5 females, there are 12 in total. (7+5=12)
To put this into a fraction, of the runners are male and of the runners are female.
Now, to take a a fraction of a whole number, multiply the fraction by 144.
Amount of males:
Amount of females:
So, there are 60 females in the race.
To check your answer:
Ratio = males/females
84/60 = 7/5=7:5
Hi,
The ratio of males to females in a race is 7:5.
Let x represent the constant of proportionality
Question States***there are 144 runners
7x + 5x = 144
12x = 144
x = 12
84 males and 60 females
CHECKING our answer***
80 + 64 = 144
Wish You the Best in your Studies.
