Question

a certain brand of coffee comes in two sizes. a 10.5-ounce package costs $3.24. a 30.6-ounce package costs $9.88. find the unit price for each size. then state which size is the better buy based on the unit price. round your answers to the nearest cent. unit price for the 10.5-ounce package: $\square$ per ounce unit price for the 30.6-ounce package: $\square$ per ounce the better buy: $\circ$ the 10.5-ounce package $\circ$ the 30.6-ounce package $\circ$ neither (they have the same unit price)

Explanation:

Step1: Calculate unit price for 10.5-ounce package

Unit price = Total cost / Ounces. So, for 10.5-ounce package, it's $\frac{3.24}{10.5} \approx 0.30857$. Rounding to nearest cent (two decimal places), we get $0.31$.

Step2: Calculate unit price for 30.6-ounce package

Using the same formula, $\frac{9.88}{30.6} \approx 0.322876$. Rounding to nearest cent, we get $0.32$.

Step3: Determine better buy

Compare the two unit prices. $0.31 < 0.32$, so the 10.5-ounce package has lower unit price, making it the better buy.

Answer:

Unit price for the 10.5-ounce package: $\$0.31$ per ounce
Unit price for the 30.6-ounce package: $\$0.32$ per ounce
The better buy: The 10.5-ounce package