Subjects algebra

Unit Price 100E9D

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1. **State the problem:** We need to find the unit price (price per ounce) for each bottle of dish soap and determine which is the better deal. 2. **Formula:** The unit price is calculated by dividing the total price by the number of ounces: $$\text{Unit Price} = \frac{\text{Total Price}}{\text{Ounces}}$$ 3. **Calculate the unit price for the 23 oz bottle:** $$\text{Unit Price}_{23} = \frac{5.35}{23}$$ 4. **Simplify the fraction:** $$\text{Unit Price}_{23} = \frac{\cancel{5.35}}{\cancel{23}} = 0.2326$$ 5. **Calculate the unit price for the 37 oz bottle:** $$\text{Unit Price}_{37} = \frac{9.11}{37}$$ 6. **Simplify the fraction:** $$\text{Unit Price}_{37} = \frac{\cancel{9.11}}{\cancel{37}} = 0.2465$$ 7. **Compare the unit prices:** - 23 oz bottle unit price: $0.2326$ per oz - 37 oz bottle unit price: $0.2465$ per oz Since $0.2326 < 0.2465$, the 23 oz bottle is the better deal. **Final answer:** - The unit price of the 23 oz bottle is $0.2326$ per oz. - The unit price of the 37 oz bottle is $0.2465$ per oz. - The better deal is the 23 oz bottle for $5.35.