Respuesta :
The amount of blue paint in each container is [tex]\fbox{\begin\\\ 0.744 liters \end{minispace}}[/tex].
Further explanation:
The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.
So, the amount of blue paint is calculated as,
[tex]{3} \times {1.24}=3.72 \text { liters}[/tex]
Therefore, the total amount of paint mixture is the sum of blue paint and red paint.
[tex]\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}[/tex]
Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,
[tex]\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}[/tex]
Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is [tex]\dfrac{3}{4}[/tex].
Now, as it is known that the fraction of blue paint to the total paint is [tex]\dfrac{3}{4}[/tex] and the amount of paint in a container is [tex] 0.992 \text{ liters}[/tex] then the blue paint in one container is calculated as,
[tex]\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}[/tex]
Thus, the amount of blue paint in each of the five containers is [tex]\fbox{\begin\\\ 0.744 liters \end{minispace}}[/tex].
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Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Mixtures and ratios
Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.
