The teacher tells the class that the highest marks obtained by a student in her class is four times the lowest marks plus 6. The highest score is 65. Form the equation which will calculate the lowest marks represented by m.

Options

A. `6m + 4= 65`
B. `4m + 65= 6`
C. `4m + 6= 65`
D. `6m + 65= 4`

Answer

To solve the problem step by step, we need to form an equation based on the information provided.

### Step 1: Understand the relationship between highest and lowest marks
The teacher states that the highest marks (let's denote this as H) is equal to four times the lowest marks (denote this as m) plus 6. This can be expressed in equation form as:
\[ H = 4m + 6 \]

### Step 2: Substitute the value of highest marks
According to the problem, the highest score obtained is 65. Therefore, we can substitute H with 65 in the equation:
\[ 65 = 4m + 6 \]

### Step 3: Rearrange the equation to isolate m
To find the value of m, we need to rearrange the equation. First, subtract 6 from both sides:
\[ 65 - 6 = 4m \]
\[ 59 = 4m \]

### Step 4: Solve for m
Now, divide both sides by 4 to solve for m:
\[ m = \frac{59}{4} \]
\[ m = 14.75 \]

### Final Equation
The equation that calculates the lowest marks represented by m is:
\[ 65 = 4m + 6 \]