Question

The cost of 5 pounds of apples is $6.45. Which statements can be used to solve for a, the cost of each pound of apples? Check all that apply.
To solve, find the cost of 1 pound of apples; write a multiplication equation.
To solve, find the cost of 1 pound of apples; write an addition equation.
The correct equation for this problem is 5 a = 6 dollars and 45 cents. Solve this problem by dividing both sides by 5.
The correct equation for this problem is 5 a = 6 dollars and 45 cents. Solve this problem by multiplying both sides by 5.
Each pound of apples costs $1.28.
Each pound of apples costs $1.29.

Answers

GPT-4o mini
To find the cost of each pound of apples (a) given that 5 pounds cost $6.45, we need to set up the equation correctly and solve for a. The following statements can be used:

1. **To solve, find the cost of 1 pound of apples; write a multiplication equation.** - This statement is applicable because we can express the total cost as a multiplication of the number of pounds (5) and the cost per pound (a), which gives us the equation \(5a = 6.45\).

2. **The correct equation for this problem is 5 a = 6 dollars and 45 cents. Solve this problem by dividing both sides by 5.** - This is accurate because we can take the established equation \(5a = 6.45\) and solve for \(a\) by dividing both sides by 5.

The other statements are not applicable:

- **To solve, find the cost of 1 pound of apples; write an addition equation.** - This is not relevant because addition does not apply to the context of calculating the cost per pound.
- **The correct equation for this problem is 5 a = 6 dollars and 45 cents. Solve this problem by multiplying both sides by 5.** - This is not correct because we want to isolate \(a\) and thus should divide, not multiply.
- **Each pound of apples costs $1.28.** - This statement is incorrect based on the calculation.
- **Each pound of apples costs $1.29.** - This statement is also incorrect. The correct cost per pound is calculated as \(6.45 / 5 = 1.29\).

Thus, the applicable statements are the first and the third.