Robert buys cheese and lemons at the store.

He pays a total of $24.36.
He pays a total of $5.31 for the cheese.
He buys 5 bags of lemons that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of lemons costs.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve this problem, we first need to identify the variables and establish relationships based on the information given.

Let \( x \) be the cost of each bag of lemons.

Robert buys 5 bags of lemons, thus the total cost for lemons can be written as: \[ 5x \]

Robert pays a total of $24.36 for both cheese and lemons. We know that he paid $5.31 for the cheese. Therefore, the equation relating the total cost and the costs of cheese and lemons is: \[ 5.31 + 5x = 24.36 \]

Now, we can solve for \( x \):

  1. Subtract the cost of the cheese from the total amount: \[ 5x = 24.36 - 5.31 \] \[ 5x = 19.05 \]

  2. Divide both sides by 5 to find \( x \): \[ x = \frac{19.05}{5} \] \[ x = 3.81 \]

Thus, each bag of lemons costs $3.81.