Ratios, Proportions, and Measurement
Computing unit prices to find the better buy
Lamar needs to buy some pencils. Brand A has a pack of 48 pencils for $\$ 7.97$. Brand B has a pack of 72 pencils for $\$ 9.88$. Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils: $\quad \$ \square$ for each pencil
Unit price for the Brand $B$ pencils: $\quad \$ \square$ for each pencil
The better buy:
Brand A
Brand B
Neither (They have the same unit price)
Final Answer: The unit price for the Brand A pencils is \(\boxed{0.17}\) dollars for each pencil. The unit price for the Brand B pencils is \(\boxed{0.14}\) dollars for each pencil. The better buy is \(\boxed{\text{Brand B}}\).
Step 1 :Given that Brand A has a pack of 48 pencils for $7.97 and Brand B has a pack of 72 pencils for $9.88.
Step 2 :To find the unit price for each brand, we need to divide the total price of each pack by the number of pencils in the pack.
Step 3 :For Brand A, the unit price is calculated as \(\frac{7.97}{48} = 0.17\) dollars per pencil.
Step 4 :For Brand B, the unit price is calculated as \(\frac{9.88}{72} = 0.14\) dollars per pencil.
Step 5 :Comparing the unit prices, Brand B has a lower unit price than Brand A.
Step 6 :Final Answer: The unit price for the Brand A pencils is \(\boxed{0.17}\) dollars for each pencil. The unit price for the Brand B pencils is \(\boxed{0.14}\) dollars for each pencil. The better buy is \(\boxed{\text{Brand B}}\).