QUESTION IMAGE
Question
in art class students are mixing black and white paint to make gray paint. anthony mixes 1 cup of black paint and 4 cups of white paint. sofia mixes 1 cup of black paint and 4 cups of white paint. whose gray paint will be darker?
answer
○ anthony’s gray paint will be darker.
○ sofia’s gray paint will be darker.
○ the two gray paints will be equally dark.
To determine whose gray paint is darker, we compare the ratio of black to total paint for each. For Anthony: black = 1, white = 4, total = 1 + 4 = 5. Ratio of black is $\frac{1}{5}$. For Sofia: black = 1, white = 4, total = 5. Ratio of black is also $\frac{1}{5}$. Since the ratio of black paint (which determines darkness) is the same for both, their gray paints will be equally dark.
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The two gray paints will be equally dark.