Compare and order rational numbers written as fractions, decimals, and percents.
Compare contextual rational quantities
Problem
A store advertises \(\text{three}\) discounts on the same kind of backpack: Store A gives \(30\%\) off, Store B gives \(28\%\) off, and Store C gives \(1/4\) off. Determine the store with the greatest discount.
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What this problem is really about
Because the stores discount the same kind of backpack, comparing their rates is enough to compare the amount saved. We’ll convert the fractional discount to a percent, place all three rates on the same scale, and identify the greatest one. A common one-hundred-dollar price can verify that the rate ranking matches the savings ranking.
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