The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that
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The amount of blue paint in each container is .
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,
Therefore, the total amount of paint mixture is the sum of blue paint and red paint.
Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,
Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is .
Now, as it is known that the fraction of blue paint to the total paint is and the amount of paint in a container is
then the blue paint in one container is calculated as,
Thus, the amount of blue paint in each of the five containers is .
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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.
We want to find the product:
.
By the
, we distribute 
over each of the three terms inside the parenthesis:
.
Multiplying the coefficients, and adding the exponents we get:
.
Answer:.
By the
Multiplying the coefficients, and adding the exponents we get:
Answer: