Question

a certain brand of coffee comes in two sizes. a 10.5-ounce package costs $2.98. a 27.8-ounce package costs $8.99. 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 27.8-ounce package: $\square$ per ounce the better buy: \bigcirc the 10.5-ounce package \bigcirc the 27.8-ounce package \bigcirc neither (they have the same unit price)

Explanation:

Step1: Calculate unit price for 10.5-ounce package

Unit price = Total cost / Total ounces. So for the 10.5-ounce package, it's $\frac{2.98}{10.5}$.
$\frac{2.98}{10.5} \approx 0.2838$ (rounded to four decimal places). Rounding to the nearest cent (two decimal places), it's approximately $0.28$ per ounce.

Step2: Calculate unit price for 27.8-ounce package

Using the same formula, unit price is $\frac{8.99}{27.8}$.
$\frac{8.99}{27.8} \approx 0.3234$ (rounded to four decimal places). Rounding to the nearest cent, it's approximately $0.32$ per ounce.

Step3: Determine better buy

Compare the two unit prices. $0.28 < 0.32$, so the 10.5-ounce package has a lower unit price, making it the better buy.

Answer:

Unit price for the 10.5-ounce package: $\$0.28$ per ounce
Unit price for the 27.8-ounce package: $\$0.32$ per ounce
The better buy: The 10.5-ounce package