Question

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

Blueberries are $0.23 per pound more expensive at the farmer’s market.
Blueberries are $0.50 per pound less expensive at the farmer’s market.
Blueberries are $0.80 per pound less expensive at the farmer’s market.
Blueberries are $1.40 per pound more expensive at the farmer’s market.

Answer 1

To compare the cost of blueberries between the grocery store and the farmer's market, we first need to calculate the price per pound for both locations.

**Grocery Store:**
- Price for 8 ounces = $2.80
- Number of ounces in a pound = 16 ounces
- Since there are 2 packages in 1 pound (16 ounces), we can find the cost per pound:

\[
\text{Cost per pound at grocery store} = 2 \times 2.80 = 5.60
\]

**Farmer's Market:**
- Price for 14 ounces = $4.20
- To find the cost per pound, first calculate the cost per ounce:

\[
\text{Cost per ounce at farmer's market} = \frac{4.20}{14} = 0.30 \, \text{(dollars per ounce)}
\]

Now, multiply the cost per ounce by the number of ounces in a pound:

\[
\text{Cost per pound at farmer's market} = 0.30 \times 16 = 4.80
\]

Now that we have both costs per pound:
- Grocery Store: $5.60 per pound
- Farmer's Market: $4.80 per pound

Next, we find the difference in price per pound:

\[
\text{Difference} = 5.60 - 4.80 = 0.80
\]

Thus, blueberries are $0.80 per pound less expensive at the farmer’s market. The statement that accurately compares the cost of blueberries is:

**Blueberries are $0.80 per pound less expensive at the farmer’s market.**