In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many cents does a liter of kerosene cost? (One dollar has 100 cents)

Options

A. `0.33`
B. `0.44`
C. `0.55`
D. `44`

Answer

To solve the problem step by step, we will break down the information given and perform the necessary calculations.

### Step 1: Understand the relationships given in the problem
- A dozen eggs (12 eggs) cost the same as a pound of rice.
- A half-liter of kerosene costs as much as 8 eggs.
- The cost of a pound of rice is $0.33 (or 33 cents).

### Step 2: Determine the cost of a dozen eggs
Since a dozen eggs cost the same as a pound of rice, we can conclude:
- Cost of 12 eggs = Cost of 1 pound of rice = 33 cents.

### Step 3: Calculate the cost of one egg
To find the cost of one egg, we divide the total cost of a dozen eggs by 12:
\[ \text{Cost of one egg} = \frac{33 \text{ cents}}{12} = 2.75 \text{ cents} \]

### Step 4: Calculate the cost of 8 eggs
Now, we need to find the cost of 8 eggs:
\[ \text{Cost of 8 eggs} = 8 \times 2.75 \text{ cents} = 22 \text{ cents} \]

### Step 5: Determine the cost of half a liter of kerosene
According to the problem, the cost of half a liter of kerosene is equal to the cost of 8 eggs:
\[ \text{Cost of half a liter of kerosene} = 22 \text{ cents} \]

### Step 6: Calculate the cost of one liter of kerosene
Since half a liter of kerosene costs 22 cents, the cost of one liter (which is double that) is:
\[ \text{Cost of one liter of kerosene} = 2 \times 22 \text{ cents} = 44 \text{ cents} \]

### Final Answer
Thus, the cost of one liter of kerosene is **44 cents**.

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