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Proportional Reasoning

Proportional Problems

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Blue Paint Problem

Cans of blue and yellow paint are mixed together to create green paint. Ratios for three different mixtures are shown below:

2 blue cans: 3 yellow cans

2 blue cans: 4 yellow cans

3 blue cans: 4 yellow cans

Which of these mixtures is bluest?

  1. Solve the problem using equivalent ratios.

Check your answer with the sample solution.

  1. Solve the Blue Paint Problem using percents.

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  1. Solve the Blue Paint Problem using a ratio table.

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  1. Solve the Blue Paint Problem using unit rates.

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Bicycle Sale

The price of a bicycle is $200. It is reduced by 25%.

This is an image of a sales tag for a bicyle that has been labelled 25% off.

The new price was reduced by a further 20%. This means a total discount of 45%. Do you agree or disagree? Consider your reasoning carefully.

Basketball Season

The Hagersville Hoyas basketball team plays 80 games in a season. So far, Jackson played 27 games and scored 450 points. After an injury, Gerdon played 18 games and scored 320 points. If these players continue playing the way they have been, who will have the better season?

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