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3 years ago

The ratio of girls to boys in class is 9 to 7 and there are 80 students in the class. how many girls are in the class?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Given that, the ratio of girls to boys in class is 9 to 7.

Let's assume there is 9x girls and 7x boys in the class.

There is total of 80 students which means sum of 9x and 7x must be equal to 80. So, we can set up an equation as following:

9x + 7x = 80

16x = 80 Combine the like terms.

$\frac{16x}{16} =\frac{80}{16}$ Divide each sides by 16 to isolate x.

So, x = 5

Since there is 9x girls in the class. So, next step is to substitute x=5 in 9x to get the number of girls in the class. Therefore,

9x = 9(5) =45.

Hence, there is 45 girls in the class.

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We could take, for example:

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Simply, substitute x and y coordinates of D and E to the system of inequalities from part A, and check if its is true, what we get.

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There are two ways we could do that. First is the same as in part B. We substitute x and y coordinates of each school and check if inequality is true or false:

$A=(-5,5)\\\\y\ \textless \ 3x-3\quad\implies\quad5\ \textless \ 3\cdot(-5)-3\quad\implies\quad5\ \textless \ -18\quad\text{False}\\\\\\
B=(-4,-2)\\\\y\ \textless \ 3x-3\quad\implies\quad-2\ \textless \ 3\cdot(-4)-3\quad\implies\quad-2\ \textless \ -15\quad\text{False}\\\\\\
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D=(-2,4)\\\\y\ \textless \ 3x-3\quad\implies\quad4\ \textless \ 3\cdot(-2)-3\quad\implies\quad4\ \textless \ -9\quad\text{False}\\\\\\
E=(2,4)\\\\y\ \textless \ 3x-3\quad\implies\quad4\ \textless \ 3\cdot2-3\quad\implies\quad4\ \textless \ 3\quad\text{False}\\\\\\$

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We can also draw a graph of that inequality (pic 2).

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Read 2 more answers

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y is larger for a larger ax² a coeffient

so the is more narrow for a higher coeffient

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