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r-ruslan [8.4K]
3 years ago
14

The high school marching band has a total of 100 students. There are 3 times as many girls in the band as boys. How many girls a

re in the band?
Mathematics
1 answer:
sp2606 [1]3 years ago
4 0
Total number of students = 100
Let the number of boys = x.
Then, number of girls = 3x
According to the question,
x+3x=100
4x=100
x=100/4
x=25
Number of girls = 3×25 =75
Hence, there are 75 girls in the band.
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B(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{( 5- 2)^2 + ( -1- 1)^2} \\\\\\ BC=\sqrt{3^2+(-2)^2}\implies BC=\sqrt{9+4}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) ~\hfill CA=\sqrt{( -2- 5)^2 + ( -3- (-1))^2} \\\\\\ CA=\sqrt{(-7)^2+(-3+1)^2}\implies CA=\sqrt{49+(-2)^2}\implies \boxed{CA=\sqrt{53}}

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