Question

A grocery store advertises that 15 cups of granola cost $6.75. Which scenario represents an equivalent price?

A. 10 cups for $4.05
B. 25 cups for $11.75
C. 5 cups for $2.45
D. 8 cups for $3.60

Answer 1

To determine which scenario represents an equivalent price, we need to calculate the unit price of granola based on the grocery store's advertisement and then see which option has the same unit price.

The grocery store advertises that 15 cups of granola cost $6.75.

First, let's find the unit price per cup:

\[
\text{Unit price} = \frac{\text{Total cost}}{\text{Total cups}} = \frac{6.75}{15}
\]

Calculating the unit price:

\[
\frac{6.75}{15} = 0.45
\]

This means the price per cup of granola is $0.45.

Now, let's calculate the unit price for each of the scenarios:

A. 10 cups for $4.05:
\[
\text{Unit price} = \frac{4.05}{10} = 0.405
\]

B. 25 cups for $11.75:
\[
\text{Unit price} = \frac{11.75}{25} = 0.47
\]

C. 5 cups for $2.45:
\[
\text{Unit price} = \frac{2.45}{5} = 0.49
\]

D. 8 cups for $3.60:
\[
\text{Unit price} = \frac{3.60}{8} = 0.45
\]

Comparing the unit prices:

- A: $0.405
- B: $0.47
- C: $0.49
- D: $0.45

The only scenario that has a unit price of $0.45, which is equivalent to the original price, is option **D. 8 cups for $3.60**.

Thus, the answer is **D. 8 cups for $3.60**.