Reflect Here are two paint mixtures: • $3 cups of white and $4 cups of blue. • $6 cups of white and $8 cups of blue. Both mixtures make the same color because they are in equivalent ratios. Which of these mixtures is also in an equivalent ratio? $ white $ blue $ white $ blue $ white $ blue $ white $ blue

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Answer:

See Explanation

Step-by-step explanation:

Given

Mixture 1:

[tex]White = 3[/tex]     [tex]Blue = 4[/tex]

Mixture 2:

[tex]White = 6[/tex]     [tex]Blue = 8[/tex]

Required

Determine equivalent mixtures

First, we need to calculate the unit rate of the given mixtures using:

[tex]Rate = \frac{White}{Blue}[/tex]

For mixture 1:

[tex]Rate = \frac{3}{4} = 0.75[/tex]

For mixture 2:

[tex]Rate = \frac{6}{8} = 0.75[/tex]

So, to determine which other mixture has equivalent ratio.

All you need to do is divide the number of white cups by the number of blue cups.

Since the options are not clear enough, I'll assume the following:

[tex]White = 12[/tex]      [tex]Blue =16[/tex]

The rate will be:

[tex]Rate = \frac{12}{16} = 0.75[/tex]

Any rate other than 075 is not equivalent

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