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Equation?

Landon wants to ride his bicycle 36 miles this week. He has already ridden 4 miles. If he rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.

1 answer

To find the average number of miles Landon needs to ride each day to meet his goal, we can set up the following equation.

  1. Define Variables:

    • Let \( mm \) be the average number of miles Landon needs to ride each day for the next 4 days.
    • Total miles he wants to ride = 36 miles.
    • Miles he has already ridden = 4 miles.
    • Miles he has left to ride to meet his goal = \( 36 - 4 = 32 \) miles.

  2. Equation Setup:

    • Landon will be riding for 4 more days, so the total miles he needs to ride over these 4 days is represented as \( mm \cdot 4 \) (since he rides \( mm \) miles each day for 4 days).
    • Therefore, we can set up the equation: \[ mm \cdot 4 = 32 \]

  3. Solve the Equation:

    • To find \( mm \), we divide both sides of the equation by 4: \[ mm = \frac{32}{4} \] \[ mm = 8 \]

So, Landon will need to ride an average of 8 miles each day for the next 4 days to meet his goal of 36 miles this week.