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Lesson 1 of 3

Rates and proportions

A ratio compares quantities. A rate compares quantities with different units, such as miles per hour. A proportion states that two ratios are equal.

Find a unit rate to compare offers. Check that both prices describe the same size and quality, and include required fees. Proportional relationships multiply every input by a fixed factor.

QuestionExampleExplain

Worked example

Three notebooks cost $6. The unit rate is $2 per notebook, so five notebooks cost $10 at the same rate.

Try it yourself

Compare 4 kg for $12 with 7 kg for $19.60 using cost per kilogram.

Check your understanding

At $2 per notebook, what do five notebooks cost?

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