Question

There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow? Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answer 1

Answer:

Brandon is correct.

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of $x$ pints of yellow color become $4 + x$ pint, in which the ampunt of yellow color is $2+x$ pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

$(4+x)\times 80\%=2+x$

$\Rightarrow (4+x)\times \frac{80}{100}=2+x$

$\Rightarrow 4(4+x)=5(2+x)$

$\Rightarrow x=6$

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.