Problem 8 · 2021 Math Kangaroo
Easy
Ratios, Rates & Proportions
ratio
Carin is going to paint the walls in her room green. The green paint is too dark, so she mixes it with white paint. She tries different mixtures. Which of the following mixtures will give the darkest green colour?
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Answer: E — They will all be equally dark
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Hint 1 of 2
The darkness comes from how much of the whole bucket is green, not from the raw number of parts.
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Hint 2 of 2
Look for a pattern: in every mixture, how many parts are white for each part of green?
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Approach: spot that every mixture has the same green share
- In each mixture there are exactly 3 parts of white for every 1 part of green, so the green is always 1 out of every 4 parts.
- As fractions: \(\frac{1}{4}\), \(\frac{2}{8}\), \(\frac{3}{12}\), \(\frac{4}{16}\) all equal \(\frac{1}{4}\).
- Same green share means same darkness, so the answer is E (they are all equally dark).
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