SOLUTION: How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys? A)8 B)10 C)12 D)15

Question 1143742: How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys?
A)8
B)10
C)12
D)15
Found 3 solutions by ikleyn, Edwin McCravy, greenestamps:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

+ = 27, + = 27 4b + 5b = 27*5 9b = 27*5 b = 3*5 = 15. ANSWER CHECK. = 15 + 12 = 27. ! Correct !

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
How many boys are there...

...in a group of 27 students...

...if there are four-fifths as many girls as there are boys?

Substitute for G in Multiply every term on both sides by the LCD, which is 5: Divide both sides by 9: There are 15 boys. Edwin

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Given that there are 4/5 as many girls as boys, you can treat the "4/5" as a ratio -- girls:boys = 4:5. So use the general procedure for setting up a problem involving ratios:

let 4x = # of girls
let 5x = # of boys

Then

The number of boys is 5x = 5(3) = 15.
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