SOLUTION: A high school biology class has 38 students. The number of boys in the class is six less than three times the number of girls in the class. What is the product of the digits in t

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Question 1060925: A high school biology class has 38 students. The number of boys in the class is six less than three times the number of girls in the class. What is the product of the digits in the number of boys in this class? Write a system of equations for this situation and find its solution.
Answer by KMST(5328) About Me  (Show Source):
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g= number of girls in the class
b= number of boys in the class
g%2Bb=38 , because the class has 38 students (and we are supposed to understand that each student is either a boy or a girl).
b=3g-6 , because " The number of boys in the class is six less than three times the number of girls in the class."
The system of equations is
system%28g%2Bb=38%2Cb=3g-6%29 .
Substituting 3g-6 for b in g%2Bb=38 we get
g%2B3g-6=38 --> 4g=38%2B6 --> 4g=44 --> g=44%2F4 --> highlight%28g=11%29 .
Substituting 1+fro+%7B%7B%7Bg in b=3g-6 , we get
b=3%2A11-6 --> b=33-6 --> highlight%28b=27%29 .
The product of the digits in 27 is 2%2A7=highlight%2814%29 .