Question

a certain brand of coffee comes in two sizes. a 10.5 - ounce package costs $2.99. a 29.3 - ounce package costs $7.98. 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: $ per ounce unit price for the 29.3 - ounce package: $ per ounce the better buy: the 10.5 - ounce package the 29.3 - ounce package neither (they have the same unit price)

Explanation:

Step1: Calculate unit - price of 10.5 - ounce package

Unit price = $\frac{\text{Total cost}}{\text{Number of ounces}}$. For the 10.5 - ounce package, the total cost is $2.99 and the number of ounces is 10.5. So the unit price is $\frac{2.99}{10.5}\approx0.28476$ dollars per ounce. Rounding to the nearest cent, it is $\$0.28$ per ounce.

Step2: Calculate unit - price of 29.3 - ounce package

For the 29.3 - ounce package, the total cost is $7.98 and the number of ounces is 29.3. So the unit price is $\frac{7.98}{29.3}\approx0.27236$ dollars per ounce. Rounding to the nearest cent, it is $\$0.27$ per ounce.

Step3: Compare unit prices

Since $0.27<0.28$, the 29.3 - ounce package has a lower unit price.

Answer:

Unit price for the 10.5 - ounce package: $\$0.28$ per ounce
Unit price for the 29.3 - ounce package: $\$0.27$ per ounce
The better buy: The 29.3 - ounce package