Question

- A 3-pound bag of whole apples costs $3.75, and a 2-pound bag of peeled apple slices costs $5.74. Miguel buys 12 pounds of peeled apple slices for the marching band and several bags of whole apples for a class field trip. Miguel spends $45.69. How many pounds of whole apples did Miguel buy?

Answer 1

Let's denote the number of bags of whole apples that Miguel bought as 'x'.

Given:
The cost of a 3-pound bag of whole apples is $3.75.
The cost of a 2-pound bag of peeled apple slices is $5.74.
Miguel bought 12 pounds of peeled apple slices.
The total amount spent by Miguel is $45.69.

We can set up the following equation based on the information provided:

3x + (12/2) * 5.74 = 45.69

Since Miguel bought 12 pounds of peeled apple slices, we add (12/2) * 5.74 to account for the cost of the peeled apple slices.

Simplifying the equation:

3x + 6 * 5.74 = 45.69
3x + 34.44 = 45.69
3x = 45.69 - 34.44
3x = 11.25
x = 11.25 / 3
x ≈ 3.75

Therefore, Miguel bought approximately 3.75 pounds of whole apples.

I hope this helps! :)

Answer 2

Let's denote the number of 3-pound bags of whole apples that Miguel buys as "x". Then, the cost of these whole apples will be 3.75x dollars.

We know that Miguel buys 12 pounds of peeled apple slices, which cost 5.74 dollars per 2-pound bag. Therefore, the cost of these peeled apple slices is:

12/2 * 5.74 = 34.44 dollars

The total cost of Miguel's purchase is $45.69. Therefore, we can write an equation:

3.75x + 34.44 = 45.69

Simplifying and solving for x, we get:

3.75x = 11.25
x = 3

Therefore, Miguel bought 3 bags of whole apples, each weighing 3 pounds, for a total of 9 pounds of whole apples.