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 $\boxed{{\displaystyle 6.90}}$.