Respuesta :
Answer:
They used 2.3 liters of red paint
Step-by-step 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 = [tex]\frac{2p+0.2}{2}[/tex]
We are given that Each jar contains 2.4 liters of paint
So, [tex]\frac{2p+0.2}{2}=2.4[/tex]
[tex]2p+0.2=2.4 \times 2[/tex]
[tex]2p+0.2=4.8[/tex]
[tex]2p=4.8-0.2[/tex]
2p=4.6
[tex]p=\frac{4.6}{2}[/tex]
p=2.3
Hence They used 2.3 liters of red paint
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,
[tex]\rm \dfrac{2p+0.2}{2} = 2.4[/tex]
On solving the equation, then p will be
[tex]\begin{aligned} \rm \dfrac{2p+0.2}{2} &= 2.4\\\rm 2p + 0.2 &= 4.8\\\rm 2p &= 4.6\\\rm p &= 2.3\end{aligned}[/tex]
Thus, 2.3 liters of red paint did they use.
More about the linear system link is given below.
