Problem

Use Polya's four-step method to solve the following problems.
a. Which is the better value?
15.3-ounce box of cereal for $\$ 4.66$
24-ounce box of cereal for $\$ 5.98$
b. The supermarket displays the unit price for the 15.3-ounce box in terms of cost per ounce, but displays the unit price for the 24-ounce box in terms of cost per pound. What are the unit prices, to the nearest cent, given by the supermarket?

Unit price for the 15.3-ounce box: $\$ \square$ per ounce

Answer

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Answer

The better value is the \(\boxed{24\text{-ounce box}}\)

Steps

Step 1 :Calculate the unit price for the 15.3-ounce box of cereal by dividing the cost by the number of ounces: \( \frac{\$4.66}{15.3 \text{ ounces}} \approx \$0.305 \text{ per ounce} \)

Step 2 :Calculate the unit price for the 24-ounce box of cereal by dividing the cost by the number of ounces: \( \frac{\$5.98}{24 \text{ ounces}} \approx \$0.249 \text{ per ounce} \)

Step 3 :Compare the unit prices to determine the better value: \( \$0.305 \text{ per ounce} > \$0.249 \text{ per ounce} \)

Step 4 :The better value is the \(\boxed{24\text{-ounce box}}\)

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