3 years ago

Set up the equations to determine x and y.. help please

Mathematics

1 answer:

il63 [147K]3 years ago

5 0

Answer:

I am unable to see the attachment

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There are 416 students who are enrolled in an introductory geology course. if there are seven boys to every six girls, how many

Alenkinab [10]

$\text{Let the number of boys be x and number of girls be y.}\\
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\text{and there are total 416 students enrolled in the course. so we have}\\
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x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
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\text{also given that there are seven boys to every six girls, that is}\\
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\frac{x}{y}=\frac{7}{6}$

$\Rightarrow 6x=7y\\
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\Rightarrow y=\frac{6x}{7}\\
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\text{substitute this value of y in (i), we get}\\
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x+\frac{6x}{7}=416\\
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\Rightarrow \frac{7x+6x}{7}=416\\
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\Rightarrow \frac{13x}{7}=416\\
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\Rightarrow x=\frac{416\times 7}{13}\\
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\Rightarrow x=224$