Question

Genevieve uses 7.7 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answer 1

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 $x + y = 7.7$

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, $y = 3x$, or $x = \frac{y}{3}$

Replacing in the first equation:

$x + y = 7.7$

$\frac{y}{3} + y = 7.7$

$\frac{y + 3y}{3} = 7.7$

$4y = 3*7.7$

$y = \frac{3*7.7}{4}$

$y = 5.775$

She used 5.775 pints of white paint to paint her bedroom walls.