Question

2.: Which is the Better Buy? Value-Mart is advertising a Back-to-School sale on pencils. A pack of 20 sells for $7.80, whereas a 12-pack of the same brand costs $5.76. Which is the better buy? How do you know? Show why​

Answer 1

The 20-pack of pencils selling for $7.80 is the better buy at $0.39 per pencil, compared to the 12-pack for $5.76 at $0.48 per pencil. The 20-pack offers a lower cost per pencil.

Step-by-step explanation:

To determine which pencil pack is the better buy at Value-Mart, we need to calculate the cost per pencil for each option. For the 20-pack selling for $7.80, the cost per pencil is $7.80 divided by 20, which equals $0.39 per pencil. For the 12-pack at $5.76, the cost per pencil is $5.76 divided by 12, which equals $0.48 per pencil.

Since $0.39 per pencil is less than $0.48 per pencil, the 20-pack is the better buy because you are getting more pencils for a lower cost per unit. This demonstrates a fundamental concept in Mathematics where unit rates are used to compare the cost-effectiveness of multiple options.

To determine which is the better buy, we need to find the cost per pencil for each pack. For the pack of 20 pencils, the cost per pencil is $7.80 divided by 20, which is $0.39 per pencil. For the 12-pack, the cost per pencil is $5.76 divided by 12, which is $0.48 per pencil. Therefore, the pack of 20 pencils is the better buy because each pencil is cheaper.