Question

A painter mixed 5 pints of white paint 3 pints of Lupe 4 pints of yellow paint he wrote the ratio 3:12 Which statement best describes ratio

Answer 1

D)the ratio of the number of pints of blue paint to the total number of pints of pain

Step-by-step explanation

Divide data A by data B to find your ratio

Step 1

Let

`\begin{gathered} white\text{ paint= 5 pints} \\ blue\text{ paint =3 pints} \\ yellow\text{ paint =4 pints } \end{gathered}`

Step 2

now, to find the correct choice we need to try one per one

a)

`\begin{gathered} ratio_1=\frac{white+\text{ yellow}}{blue\text{ }} \\ rat\imaginaryI o=(9)/(3)=(3)/(1)=3:1 \end{gathered}`

so, False

b)

`\begin{gathered} ratio_2=\frac{\text{ yellow}}{4*blue\text{ }} \\ rat\imaginaryI o=(4)/(4*3)=(1)/(3)=1:3 \end{gathered}`

False

c)

`\begin{gathered} ratio3=\frac{\text{ blue}}{blue+yellow\text{ }} \\ rat\imaginaryI o=(3)/(3+4)=(3)/(7)=3:7 \end{gathered}`

d)

`\begin{gathered} ratio_4\text{ =}\frac{blue\text{ }}{total}=(blue)/(white+blue+yellow) \\ ratio_4=(3)/(5+3+4)=(3)/(12)=3:12 \end{gathered}`

therefore, the answer is

D)the ratio of the number of pints of blue paint to the total number of pints of pain

I hope this helps you