Mr. Bird’s son is on a coed soccer team with Mrs. Twiddy’s daughters for a total of 36 team members. The number of girls is 3 less than double the number of boys. How many of the players are boys and how many are girls?
Write a system of equations to model the problem.
Solve the system by substitution, show your work.
Give your final answer in a complete sentence. @perl
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OpenStudy (perl):
Let `g` stand for number of girls, let `b` stand for number of boys.
OpenStudy (perl):
B + G = 36
G = 2B - 3
OpenStudy (anonymous):
ok
OpenStudy (perl):
can you try to solve that now (use substitution)
OpenStudy (anonymous):
i dont know how
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OpenStudy (perl):
we know that G = 2B - 3 , so we can substitute that in the first equation
OpenStudy (anonymous):
ok how do u do that lol
OpenStudy (perl):
B + G = 36
G = 2B - 3
therefore
B + (2B -3 ) = 36
OpenStudy (anonymous):
ok
OpenStudy (perl):
you can use the equation
$$
\Large { n_1 \sin\theta_1 = n_2 \sin \theta_2
}
$$
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OpenStudy (perl):
oops wrong post
OpenStudy (anonymous):
lol
OpenStudy (perl):
does that make sense, how i got
B + (2B -3 ) = 36
OpenStudy (anonymous):
yes
OpenStudy (perl):
ok collect like terms and solve that
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
3B-3+36?
OpenStudy (perl):
correct
OpenStudy (perl):
3B - 3 = 36
now add 3 to both sides
OpenStudy (anonymous):
\[3B - 3 = 36 \]
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