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To find out how much each bag of apples costs, we can let x represent the cost of each bag of apples. Since Autumn buys 6 bags of apples, the total cost of the apples can be represented as 6x.
The equation can be set up as:
6x + 5.76 = 34.14
To solve for x, we can subtract 5.76 from both sides of the equation:
6x = 34.14 - 5.76
Simplifying the right side of the equation:
6x = 28.38
Finally, we can divide both sides of the equation by 6 to solve for x:
x = 28.38 / 6
Simplifying the right side of the equation:
x ≈ 4.73
So, each bag of apples costs approximately $4.73.