Question

2. Henri and Talia are mixing paint for an art project. They mixed p liters of red paint,

0.6 liters of blue paint, and p-0.4 liters of white paint. They then divided the mixture

evenly into 2 jars. If each jar contains 2.4 liters of paint, how many liters of red paint did

they use? Type your numeric answer below.

Answer 1

They used 2.3 liters of red paint

Explanation:

Henri and Talia are mixing paint for an art project.

They mixed amount of red paint = p liters

They mixed amount of blue paint = 0.6 liters

They mixed amount of white paint = p-0.4 liters

Total amount of paint = p +0.6 +p - 0.4 = 2p+0.2

They then divided the mixture evenly into 2 jars.

Amount of paint in 1 jar =
`(2p+0.2)/(2)`

We are given that Each jar contains 2.4 liters of paint

So,
`(2p+0.2)/(2)=2.4`

`2p+0.2=2.4 * 2`

`2p+0.2=4.8`

`2p=4.8-0.2`

2p=4.6

`p=(4.6)/(2)`

p=2.3

Hence They used 2.3 liters of red paint

Answer 2

The correct statement is the red paint they use is 2.3 liters.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

They mixed p liters of red paint, 0.6 liters of blue paint, and a p-0.4 liter of white paint.

They then divided the mixture evenly into 2 jars. If each jar contains 2.4 liters of paint.

How to find the red color in it?

They mixed p liters of red paint, 0.6 liters of blue paint, and a p-0.4 liter of white paint. According to this, the total paint will be

The total paint in liters = p + 0.6 + p - 0.4

The total paint in liters = 2p + 0.2

They then divided the mixture evenly into 2 jars. If each jar contains 2.4 liters of paint. According to this,

`\rm (2p+0.2)/(2) = 2.4`

On solving the equation, then p will be

`\begin{aligned} \rm (2p+0.2)/(2) &= 2.4\\\rm 2p + 0.2 &= 4.8\\\rm 2p &= 4.6\\\rm p &= 2.3\end{aligned}`

Thus, 2.3 liters of red paint did they use.

More about the linear system link is given below.