SOLUTION: 6,090 fans attended a Concert, the ratio of Males to Females is 2 to 3. How many males are at the Concert? & How many Females are at the Concert?

Question 829650: 6,090 fans attended a Concert, the ratio of Males to Females is 2 to 3. How many males are at the Concert? & How many Females are at the Concert?
Found 2 solutions by TimothyLamb, LinnW:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x/y = 2/3
x + y = 6090
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put the system of linear equations into standard form:
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3x = 2y
x + y = 6090
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3x - 2y = 0
x + y = 6090
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = males = 2436
y = females = 3654
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system matrix
3 -2
1 1
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inverse of system matrix
0.2 0.4
-0.2 0.6
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determinant of system matrix = 5
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Since the ratio for male/female is 2/3 , the ratio of male/(male+female)
is 2/(2+3) = 2/5.
(2/5)*6090 is the number of males
12180/5 = 2436
(3/5)6090 is the number of females
18270/5 = 3654
checking 2436 + 3654 = 6090
2436/3654 =2/3

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