A housepainter mixed 2 gallons of blue paint with
every 4 gallons of red paint in order to make purple
paint. Which ratio of gallons of blue paint to gallons
of red paint will make the same shade of purple
paint?
A. 8:12
C. 8:24
B. 3:5
D. 6:12

Respuesta :

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

[tex]No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2[/tex]

Now we will check if the given options can be simplified to 1:2

So,

Option A:

[tex]8:12\\2:3[/tex]

Option B:

[tex]8:24\\1:3[/tex]

Option C:

[tex]3:5[/tex]

Option D:

[tex]6:12\\1:2[/tex]

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

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