A certain homeowner uses a gas edger to clean up his lawn every time he mows. If the edger uses 160 milliliters of fuel each time, what is the maximum number of times the homeowner can edge his lawn with 8 litres of fuel?( 1 liter = 1,000 milliliters)

Options

A. 5
B. 50
C. 100
D. 1000

Answer

To solve the problem step by step, we need to determine how many times the homeowner can use the gas edger with the given amount of fuel.

### Step 1: Convert liters to milliliters
We know that 1 liter is equal to 1,000 milliliters. Therefore, we need to convert 8 liters into milliliters.

\[ 8 \text{ liters} = 8 \times 1000 \text{ ml} = 8000 \text{ ml} \]

**Hint:** Remember to multiply the number of liters by 1,000 to convert to milliliters.

### Step 2: Determine the fuel consumption per use
The problem states that the edger uses 160 milliliters of fuel each time it is used.

**Hint:** Keep track of how much fuel is consumed for each use of the edger.

### Step 3: Set up the equation for total fuel used
Let \( N \) represent the maximum number of times the homeowner can edge his lawn. The total amount of fuel used after \( N \) uses is given by:

\[ \text{Total fuel used} = 160 \text{ ml} \times N \]

**Hint:** You can express the total fuel used as a product of the amount used per time and the number of times used.

### Step 4: Set the equation equal to the total available fuel
We know the total amount of fuel available is 8000 ml. Therefore, we can set up the equation:

\[ 160N = 8000 \]

**Hint:** This equation relates the total fuel used to the total fuel available.

### Step 5: Solve for \( N \)
To find \( N \), we need to divide both sides of the equation by 160:

\[ N = \frac{8000}{160} \]

Calculating this gives:

\[ N = 50 \]

**Hint:** When dividing, simplify the fraction to find the maximum number of uses.

### Conclusion
The maximum number of times the homeowner can edge his lawn with 8 liters of fuel is 50.

**Final Answer:** The homeowner can edge his lawn a maximum of 50 times.

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