Serenity buys milk and potatoes at the store. She pays a total of $31.69. 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.

3 answers

Let \( x \) represent the cost of each bag of potatoes. Since Serenity buys 4 bags of potatoes, the total cost for the potatoes can be expressed as \( 4x \).

According to the problem, Serenity spends a total of $31.69. She spends $4.09 on milk, so we can write the equation based on her total spending:

\[ 4.09 + 4x = 31.69 \]

To solve for \( x \), first, subtract $4.09 from both sides of the equation:

\[ 4x = 31.69 - 4.09 \]

Calculating the right side:

\[ 31.69 - 4.09 = 27.60 \]

So, we have:

\[ 4x = 27.60 \]

Next, divide both sides by 4 to isolate \( x \):

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

Calculating the division:

\[ x = 6.90 \]

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

give me an equation for this pls

Certainly! The equation to represent the situation described is:

\[ 4x + 4.09 = 31.69 \]

Where:

  • \( 4x \) represents the total cost of the 4 bags of potatoes (with \( x \) being the cost of each bag).
  • \( 4.09 \) is the cost of the milk.
  • \( 31.69 \) is the total amount paid by Serenity.

You can solve this equation to find \( x \), which represents the cost of each bag of potatoes.