You have an 8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint. To create a certain shade of green, you need a paint mixture that is 80% yellow. How many pints of yellow paint do you need to add to the mixture? Write an equation to model this situation. Solve your equation.

Respuesta :

Answer:

You need to add 12 pint of yellow.

Step-by-step explanation:

This is the method I used:

There is 4 pint of Yellow (Y) and 4 pint of Blue (B)

because they said is in equal amounts, so they are 50% each.

We need 80% Y and 20% B

so 4:20 = x=80   (4 pints is 20% as "how many pints" is 80%)

So x = 16

We already have 4 pint of Yellow, so we need more 12.

6.4 pint of yellow paint we need to add to the mixture.

What is percentage?

"A percentage is a number or ratio that can be expressed as a fraction of 100."

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint.

Let we need 'x' amount of yellow paint.

To create a certain shade of green, you need a paint mixture that is 80% yellow.

So, we get an equation [tex]\frac{x}{8}\times 100 =80[/tex]

We solve above equation.

[tex]\Rightarrow \frac{x}{8}\times 100 =80\\\\\Rightarrow \frac{x}{8} = \frac{80}{100}\\\\ \Rightarrow x = 0.8\times 8\\\\\Rightarrow x = 6.4~~pints[/tex]

Therefore, 6.4 pint of yellow paint we need to add to the mixture.

Learn more about the percentage here:

https://brainly.com/question/22111589

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