Respuesta :
Answer:
She used 5.775 pints of white paint to paint her bedroom walls.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the amount of white paint used.
y is the amount of blue paint used.
7.7 pints of blue paint and white paint to paint her bedroom walls.
This means that [tex]x + y = 7.7[/tex]
1/4 of this amount is blue paint, and the rest is white paint.
The rest is 1-(1/4) = 3/4. That is, the amount of white paint is the triple of the amount of blue paint. That is, [tex]y = 3x[/tex], or [tex]x = \frac{y}{3}[/tex]
Replacing in the first equation:
[tex]x + y = 7.7[/tex]
[tex]\frac{y}{3} + y = 7.7[/tex]
[tex]\frac{y + 3y}{3} = 7.7[/tex]
[tex]4y = 3*7.7[/tex]
[tex]y = \frac{3*7.7}{4}[/tex]
[tex]y = 5.775[/tex]
She used 5.775 pints of white paint to paint her bedroom walls.
