She pays a total of $31.69.

Question

She pays a total of $4.09 for the milk.
She buys 4 bags of potatoes that each cost the same amount.

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

Answer 1

To find the cost of each bag of potatoes, we can set up an equation based on the information provided.

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

1. She pays a total of $31.69.
2. The cost for milk is $4.09.
3. She buys 4 bags of potatoes, each costing \( x \).

The total cost can be expressed as the sum of the cost of the milk and the cost of the potatoes. The cost of the potatoes, since she buys 4 bags, would be \( 4x \).

We can write the equation:

\[ 4x + 4.09 = 31.69 \]

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

1. Subtract \( 4.09 \) from both sides:

\[ 4x = 31.69 - 4.09 \]

Calculating the right side:

\[ 31.69 - 4.09 = 27.60 \]

So, we have:

\[ 4x = 27.60 \]

2. Now divide both sides by 4 to find \( x \):

\[ x = \frac{27.60}{4} \]

Calculating the division:

\[ x = 6.90 \]

Thus, the cost of each bag of potatoes is \( \boxed{6.90} \).