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WE HAVE THOSE TWO MATHEMATIC TYPES, HOW CAN WHY COMBINE THEM IN ORDER TO FIND THE A,B,C?

A:B:C=3:2:3 (1)

15A+6B+9C=20 (2)

THANK YOU IN ADVANCE!

 Aug 31, 2021
 #1
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A:B:C=3:2:3 (1)

 

so    C=A

and 

\(\frac{B}{A}=\frac{2}{3}\\ B=\frac{2}{3}*A\)

 

Now

15A+6B+9C=20 (2)

15A+6*(2/3)A+9A=20

15A+4A+9A=20

28A=20

 

\(A=\frac{20}{28}=\frac{5}{7}\\ B=\frac{2}{3}*\frac{5}{7}=\frac{10}{21}\\ C=\frac{5}{7}\)

 Aug 31, 2021

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