Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2
haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the
situation?

The equation that can be used to represent the situations will be 3x + 2y = 315 and 2x + 4y = 450.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. This can be represented as:

3x + 2y = 315

Giving 2 haircuts and 4 hair dyes takes 450 minutes. This can be represented as:

2x + 4y = 450

Therefore, the equations are 3x + 2y = 315 and 2x + 4y = 450.

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is the system of equations representing the situation.

Step-by-step explanation:

Given:

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2  haircuts and 4 hair dyes takes 450 minutes.

Now, to find the system of equations representing the situation.

Let the number of haircuts be

Let the number of hair dyes be

So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.

here is the

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