To solve this problem, we need to determine the value of x, which represents the price ratio between the carton of eggs and one bottle of milk.
Let's break down the information given:
Number of buns: 10
Price per bun: $0.1
Number of bottles of milk: 2
Price per bottle of milk: $2
Price of the carton of eggs: x times the price of one bottle of milk
Total price of the breakfast shopping: $11
We can set up the equation as follows:
(Number of buns * Price per bun) + (Number of bottles of milk * Price per bottle of milk) + (Price of the carton of eggs) = Total price of the breakfast shopping
(10 * $0.1) + (2 * $2) + (x * $2) = $11
Let's simplify and solve for x:
$1 + $4 + $2x = $11
To isolate x, we subtract $5 from both sides of the equation:
$1 + $4 + $2x - $5 = $11 - $5
$2x = $6
To solve for x, we divide both sides of the equation by $2:
x = $6 / $2
x = 3
The value of x is 3.
#### 3
The answer is: 3
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Frank went to a shop to buy some food for his breakfast. He bought 10 buns for $0.1 each, two bottles of milk, for $2 each, and a carton of eggs, which was x times more expensive than one bottle of milk. Frank paid 11 for his breakfast shopping.

### Answer:
