Question

decimals and percents
computing unit prices to find the better buy
josh needs to buy some pencils. brand a has a pack of 36 pencils for $8.52. brand b has a pack of 48 pencils for $9.98.
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: $ for each pencil
unit price for the brand b pencils: $ for each pencil
the better buy: ○ brand a
○ brand b
○ neither (they have the same unit price)

Explanation:

Step1: Calculate Brand A's unit price

To find the unit price for Brand A, divide the total price by the number of pencils. So, we do $\frac{8.52}{36}$.
$8.52 \div 36 = 0.236\overline{6} \approx 0.24$ (rounded to the nearest cent).

Step2: Calculate Brand B's unit price

For Brand B, divide the total price by the number of pencils. That is $\frac{9.98}{48}$.
$9.98 \div 48 \approx 0.2079 \approx 0.21$ (rounded to the nearest cent).

Step3: Compare unit prices

Brand A's unit price is approximately $0.24$ per pencil, and Brand B's is approximately $0.21$ per pencil. Since $0.21 < 0.24$, Brand B has a lower unit price, so it's the better buy.

Answer:

Unit price for the Brand A pencils: $\$0.24$ for each pencil
Unit price for the Brand B pencils: $\$0.21$ for each pencil
The better buy: Brand B