SOLUTION: suppose the ratio of girls to boys in your school is 19:17. Theree are 1908 students altogether. A. Solve the proportion g/b=19/17 B. Write and solve the system of equations

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Question 256593: suppose the ratio of girls to boys in your school is 19:17. Theree are 1908 students altogether.
A. Solve the proportion g/b=19/17
B. Write and solve the system of equations to find the total number of boys b and girls
Found 2 solutions by stanbon, palanisamy:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether.
A. Solve the proportion g/b=19/17
g/(1908-g) = 19/17
17g = 19(1908-g)
17g = 19*1908 - 19g
36g = 19*1908
g = 1007 (# of girls)
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Since b+g = 1908, b = 1908-1007 = 899 (# of boys)
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B. Write and solve the system of equations to find the total number of boys b and girls
Done:
Cheers,
Stan H.

Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website!
Let the number of boys be 19x
Then the number of girls is 17x
Total number of students = 19x+17x = 36x
Given total 36x = 1908
x = 1908/36
x = 53
Therefore the number of boys = 19*53 = 1007
Then the number of girls = 17*53 = 901
Another Method
Let the number of boys be x
And the number of girls is y
Given, x/y = 19/17
17x = 19y
17x-19y = 0 ...(1)
Next,
Total number of students is x+y = 1908 ...(2)
(2)*19 => 19x+19y = 36252 ...(3)
(2)+(3) => 36x = 36252
x = 36252/36
x = 1007
Therefore the number of boys = 19*53 = 1007
Then the number of girls = 1908-1007 = 901