Question

Which ratio would that would create the same orange color ?

Answer 1

Given the following ratio in creating orange color:

`\text{ 4 drops of red : 6 drops of yellow }\rightarrow\text{ 4 : 6}`

Let's check which ratios in the choices will still create the same orange color.

But first, let's simplify the given ratio:

`\text{ 4 : 6 }\rightarrow\text{ }\frac{\text{ 4}}{\text{ 6}}\text{ = }\frac{\text{ }(4)/(2)}{\frac{\text{ 6}}{2}}\text{ = }\frac{\text{ 2}}{\text{ 3}}\text{ or 2 : 3}`

Let's now check:

a.) 2 red to 3 yellow

`\text{ 2 read to 3 yellow }\rightarrow\text{ 2 : 3}`

This will create the same orange color.

b.) 40 yellow to 100 red

`\text{ 40 yellow to 100 red }\rightarrow\text{ 100 : 40 = }\frac{\text{ 100}}{\text{ 20}}\text{ : }\frac{\text{ 40}}{\text{ 20}}\text{ = 5 : 2}`

This will not create the same orange color.

c.) 44 red to 66 yellow

`\text{ 44 red to 66 yellow }\rightarrow\text{ 44 : 66 = }\frac{\text{ 44}}{\text{ 22}}\text{ : }\frac{\text{ 66}}{\text{ 22}}\text{ = 2 : 3}`

This will create the same orange color.

d.) 24 red to 26 yellow

`\text{ 24 red to 26 yellow }\rightarrow\text{ 24 : 26 = }\frac{\text{ 24}}{\text{ 2}}\text{ : }\frac{\text{ 26}}{\text{ 2}}\text{ = 12 : 13}`

This will not create the same orange color.

e.) 28 red to 42 yellow

`\text{ 28 red to 42 yellow }\rightarrow\text{ 28 : 42 = }\frac{\text{ 28}}{\text{ 14}}\text{ : }\frac{\text{ 42}}{\text{ 14}}\text{ = 2 : 3}`

This will create the same orange color.

ANSWER: The following ratios will create the same orange color.

2 red to 3 yellow

44 red to 66 yellow

28 red to 42 yellow