Expressing Ratios Numerically

Expressing Ratios Numerically

Paint

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Paint

Mia used the following reasoning to determine which paint is redder:

"I think it will be difficult to compare the two ratios in the problem because the numbers are so large. Maybe if I find equivalent ratios that have smaller numbers, it will be easier to solve the problem.

"The ratio of red to yellow in the Sunset paint is 2416. This ratio is equivalent to the ratio 32.

"The ratio of red to yellow in the Apple paint is 4840. This ratio is equivalent to the ratio 65.

"It’s easy to compare 32 and 65. I know that 32 is greater than 65. So, the Sunset paint is redder than the Apple paint."

  • Talk to your partner about Mia's reasoning. Why is it more difficult to compare 2416 and 4840 than it is to compare 32 and 65?
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