To determine which size bag of carrots is a better deal, we need to consider both the prices and the unit rates (cost per pound) of the bags.
Let's break down the points made in the responses:
-
The 2-lb. bag is the better deal because it costs less.
- This response compares only the total cost of the bags without considering the weight. However, if the 5-lb. bag costs significantly more, it may still offer a better unit price.
-
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
- This is a valid argument if the 5-lb. bag costs more overall but is priced at a lower per pound rate than the 2-lb. bag.
-
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
- This statement would only hold true if the total price for the 5-lb. bag is indeed lower, which is typically unlikely since it generally costs more than a smaller bag unless on sale.
-
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
- While it's true that 5 lb. is more than 2 lb., this response doesn’t provide a comparison of the costs or unit rates, making it less analytical in terms of assessing value.
In general, to find out which bag is the better deal, you need to compare the cost per pound. If the 5-lb. bag has a lower cost per pound despite being the higher total price, it would be considered the better deal. So:
- For both bags, if you have the total cost (e.g., if the 2-lb bag costs $4 and the 5-lb bag costs $9), you can determine their unit prices:
- 2-lb bag: $4 ÷ 2 = $2 per lb.
- 5-lb bag: $9 ÷ 5 = $1.80 per lb.
In this case, the 5-lb bag would be the better deal because it has a lower unit price.
Therefore, based on the arguments given, the best point made is the one regarding the unit rates: “The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.” Always consider the price per pound to determine value accurately.
1 answer