MATHEMATICS MIDDLE SCHOOL

Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally into 5 containers. How much BLUE paint is in each container? Give your answer in liters.

Answers

Answer 1

Answer:

The amount of blue paint in each container is $\fbox{\begin\n\ 0.744 liters \end{minispace}}$ .

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,

${3} * {1.24}=3.72 \text { liters}$

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \n\begin{aligned} \text{Total paint}= 1.24+3.72\n=4.96 \text{ liters}\n\end{aligned}\n\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= (4.96)/(5)\n &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $(3)/(4)$ .

Now, as it is known that the fraction of blue paint to the total paint is $(3)/(4)$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =(3)/(4) * 0.992\n=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each of the five containers is $\fbox{\begin\n\ 0.744 liters \end{minispace}}$ .

Learn more:

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

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.

Answer 2

Answer: .744 liters
hope this helped :D

3.72/5 = .744 liters

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Enter your answer as a fraction.

Answers

The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.

What is the solution to the given equation?

Given the equation in the question:

12( b + 2 ) + 3b = -1

To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.

Distribute the 12 across the terms inside the parentheses:

12( b + 2 ) + 3b = -1

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Collect and combine the like terms on the left side of the equation:

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Divide both sides by 15:

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Simplify

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Learn more about equations here: brainly.com/question/14686792

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Answer: -5/3

Step-by-step explanation:

12(b + 2) + 3b = -1

12b + 24 + 3b = -1

15b + 24 = -1

15b = -1-24

b = -25/15 = -5/3

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