The equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]
Let the size of the art be x.
In the morning, she paints 3/4 of x.
So, we have:
[tex]\mathbf{Morning = \frac 34 x}[/tex]
In the evening, she paints 1/8 of x.
So, we have:
[tex]\mathbf{Evening = \frac 18 x}[/tex]
So, the amount of project painted is:
[tex]\mathbf{c = Morning + Evening}[/tex]
This gives
[tex]\mathbf{c = \frac 34x + \frac 18x}[/tex]
Take LCM
[tex]\mathbf{c = \frac{6x + x}8}[/tex]
Add the numerator
[tex]\mathbf{c = \frac{7x}8}[/tex]
So, we have:
[tex]\mathbf{c = \frac{7}{8}x}[/tex]
Hence, the equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]
Read more about proportions at:
https://brainly.com/question/21126582
