Question

autumn buys eggs and apples at the store.

• she pays a total of $34.14.
• she pays a total of $5.76 for the eggs.
• she buys 6 bags of apples that each cost the same amount.

write and solve an equation which can be used to determine x, how much each bag of apples costs.

Explanation:

Step1: Define the equation components

The total cost is the sum of the cost of eggs and the cost of 6 bags of apples. Let \( x \) be the cost of one bag of apples. So the cost of 6 bags is \( 6x \), the cost of eggs is \( 5.76 \), and the total is \( 34.14 \). The equation is \( 5.76 + 6x = 34.14 \).

Step2: Solve for \( x \)

Subtract \( 5.76 \) from both sides: \( 6x = 34.14 - 5.76 \)
Calculate the right side: \( 6x = 28.38 \)
Divide both sides by 6: \( x = \frac{28.38}{6} \)
Calculate the division: \( x = 4.73 \)

Answer:

The equation is \( 5.76 + 6x = 34.14 \) and each bag of apples costs \$4.73.