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.

`(Red)/(Purple)=(\left((3)/(10)\right))/(\left((11)/(16)\right))=(x)/(3)`

`(\left((3)/(10)\right))/(\left((11)/(16)\right))=(x)/(3)`

`\left((3)/(10)\right)\cdot\left((16)/(11)\right)=(x)/(3)`

`(48)/(110)=(x)/(3)`

`(48)/(110)\cdot3=x`

`(72)/(55)=x`

Hence final answer is
`(72)/(55)` fluid ounce of red colour.