6. Agrocery store sells bags of oranges in two different sizes. o The 3-pound bags of oranges cost \( \$ 4 \). o The 8-pound bags of oranges for \( \$ 9 \). Which oranges cost less per pound? Explain or show your reasoning. (From unit 2 Lesson 10 .)
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To find out which bag costs less per pound, we need to calculate the price per pound for both sizes. For the 3-pound bag costing \( \$ 4 \), the price per pound is \( \frac{4}{3} \approx \$ 1.33 \). For the 8-pound bag at \( \$ 9 \), the price per pound is \( \frac{9}{8} = \$ 1.125 \). Hence, the 8-pound bag of oranges is cheaper at about \( \$ 1.125 \) per pound compared to the \( \$ 1.33 \) of the 3-pound bag. If you find it puzzling to determine which option saves you money, remember to always convert your total price into a price per unit measure (like pounds). This simple technique prevents common mistakes such as overlooking one option’s weight and ending up with a more expensive purchase!
