Whalid wants to buy a long sandwich for a party. Store A sells -foot sandwich for \( \$ 42.50 \). Store B sells a 6 -foot sandwich fo 49.50 . Which store has the better buy? Show your work.

To determine which store has the better buy, we need to compare the cost per foot of the sandwich at both stores. Let's calculate the cost per foot of the sandwich at Store A: Cost per foot at Store A = Total cost at Store A / Length of sandwich at Store A Cost per foot at Store A = $42.50 / 8 feet Now, let's calculate the cost per foot of the sandwich at Store B: Cost per foot at Store B = Total cost at Store B / Length of sandwich at Store B Cost per foot at Store B = $49.50 / 6 feet Next, we will compare the cost per foot at both stores to determine which store has the better buy. Calculate the value by following steps: - step0: Calculate: \(\frac{42.5}{8}\) - step1: Convert the expressions: \(\frac{\frac{85}{2}}{8}\) - step2: Multiply by the reciprocal: \(\frac{85}{2}\times \frac{1}{8}\) - step3: Multiply the fractions: \(\frac{85}{2\times 8}\) - step4: Multiply: \(\frac{85}{16}\) Calculate or simplify the expression \( 49.50 / 6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{49.5}{6}\) - step1: Convert the expressions: \(\frac{\frac{99}{2}}{6}\) - step2: Multiply by the reciprocal: \(\frac{99}{2}\times \frac{1}{6}\) - step3: Reduce the numbers: \(\frac{33}{2}\times \frac{1}{2}\) - step4: Multiply the fractions: \(\frac{33}{2\times 2}\) - step5: Multiply: \(\frac{33}{4}\) The cost per foot at Store A is $5.3125 and the cost per foot at Store B is $8.25. Since $5.3125 is less than $8.25, Store A has the better buy.