Question

To prepare a particular shade of orange color paint we need to mix red and yellow paints in the ratio as given in the table.

Red paint (mL)	Yellow paint (mL)
$8.47$	$24.2$
$3.57$	$10.2$
?	?

Which of the following mixtures of paint will result in the same shade of orange paint?

• A. $9.45mL$ of red and $27mL$ of yellow
• B. $3.30mL$ of red and$9.45mL$ of yellow
• C. $9.45mL$ of yellow and $27mL$ of red
• D. $9.45mL$ of red and $3.30mL$ of yellow

Answer 1

The correct option is A $9.45mL$ of red and $27mL$ of yellow

The ratio of red and yellow paint from the table:

1. $\frac{8.47}{24.2}=\frac{847}{2420}=\frac{7}{20}$
2. $\frac{3.57}{10.2}=\frac{357}{1020}=\frac{7}{20}$

Option A:$\frac{9.45}{3.30}=\frac{945}{330}=\frac{63}{22}$

Option B: $\frac{27}{9.45}=\frac{2700}{945}=\frac{20}{7}$

Option C: $\frac{9.45}{27}=\frac{945}{2700}=\frac{7}{20}$

OptionD: $\frac{3.30}{9.45}=\frac{330}{945}=\frac{66}{189}=\frac{22}{63}$

Option C forms an equivalent ratio and hence, it gives the same shade of orange paint.