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

Brandon is correct that the mixture needs 6 more pints of yellow paint.

50%(4 pints) + 100%(x pints) = 80%(4 + x pints)

2 + x = 3.2 + 0.8x

0.2x = 1.2

x = 6

Bianca is correct because adding the 6 pints won't fit in the gallon bucket. Adding 6 pints of yellow to the original 4 pints of green is 10 pints, which will not fit in the 1-gallon bucket. (1 gallon = 8 pints)

Explanation:

used this for my test and it was right

Answer 2

Brandon is correct.

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)* 80\%=2+x`

`\Rightarrow (4+x)* (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.