Question

iIsabelle is mixing red paint with blue paint to make purple paint.she ads 3/10 of a fluid ounce of red to 11/16 fluid ounces of purple. how many fluid ounces of red will she need to make 3 fluid ounces of purple paint

Answer 1

Question says that Isabelle is mixing red paint with blue paint to make purple paint.

She adds 3/10 of a fluid ounce of red to 11/16 fluid ounces of purple.

Now we need to find about how many fluid ounces of red will she need to make 3 fluid ounces of purple paint.

So let we need x fluid ounces of red color paint.

To find that we can setup ratio between quantity of red and pruple colour paints.

$\frac{Red}{Purple}=\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}$

$\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}$

$\left(\frac{3}{10}\right)\cdot\left(\frac{16}{11}\right)=\frac{x}{3}$

$\frac{48}{110}=\frac{x}{3}$

$\frac{48}{110}\cdot3=x$

$\frac{72}{55}=x$

Hence final answer is $\frac{72}{55}$ fluid ounce of red colour.