Robert buys cheese and lemons at the store.

Question

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.
Answer
Attempt 1 out of 2

Equation:

Answer 1

Let's denote the cost of each bag of lemons as \( x \). Since Robert buys 5 bags of lemons, the total cost for the lemons would be \( 5x \).

We know that the total amount he paid for both cheese and lemons is $24.36. He paid $5.31 for the cheese. Therefore, we can set up the following equation:

\[ 5.31 + 5x = 24.36 \]

Now we can solve for \( x \):

1. Subtract $5.31 from both sides of the equation: \[ 5x = 24.36 - 5.31 \]

2. Calculate the right side: \[ 5x = 19.05 \]

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

4. Calculate the value: \[ x = 3.81 \]

Thus, the cost of each bag of lemons is $3.81.