Question

A mixture of paint calls for 1/6 of a cup of red paint and 2/3 cups of yellow paint. How many cups of red paint would be needed for every 1 cup of yellow paint?

Answer 1

Answer:

$\frac{1}{4}\ cup$ of red paint would be needed for every 1 cup of yellow paint.

Step-by-step explanation:

Given:

A mixture of paint calls for 1/6 of a cup of red paint and 2/3 cups of yellow paint.

Now, to find the cups of red paint needed for every 1 cup of yellow paint.

So, to get the cups of red paint needed we use unitary method:

For $\frac{2}{3}$ cup of yellow paint needed of a cup of red paint =  $\frac{1}{6}.$

Thus, 1 cup of yellow paint needed of a cup of red paint = $\frac{1}{6} \div \frac{2}{3}$

$=\frac{1}{6} \times \frac{3}{2}$

$=\frac{3}{12}$

On simplifying it:

$=\frac{1}{4} .$

Therefore, $\frac{1}{4}\ cup$ of red paint would be needed for every 1 cup of yellow paint.