At a certain college, there are 7 men for every 5 women. If there are 380 more men than women, what is the total enrollment?

Mathematics

2 answers:

adell [148]3 years ago

6 0

7 men= 5 women
380 men= x women
=> 7x = 5 . 380
7x = 1900
x= 1900/7
x= 271,4
wich means 271 women

HOPE IT HELPS

solmaris [256]3 years ago

5 0

Or
Men - 420 = Women 

Take (Men) / (Women) for each proportion... 

7 / 5 = M / (M - 380) 

Cross multiply: 

5 M = 7 (M - 380) 
5 M = 7 M - 1900 
-2 M = - 1900
M = 950

W = M - 380
W = 950 - 380 = 570
M + W = total enrolled
950 + 570 = 1520

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