Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

To solve this problem, let's define the variables:

- \( x \): the average number of miles Brandon needs to ride per day over the next 5 days.
- Brandon's goal is to ride 21 miles in total, and he has already ridden 6 miles.

### Step 1: Write the equation
Since he has already ridden 6 miles, he needs to ride \( 21 - 6 = 15 \) more miles over the next 5 days. The number of miles he needs to ride each day is represented by \( x \), so the total number of miles he will ride in 5 days is \( 5x \).

Therefore, the equation to represent the situation is:
\[
5x = 15
\]

### Step 2: Solve the equation
To solve for \( x \), divide both sides of the equation by 5:
\[
x = \frac{15}{5} = 3
\]

So, Brandon needs to ride an average of **3 miles per day** over the next 5 days to meet his goal.

### Final Answer:
Brandon needs to ride **3 miles per day** on average.

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Do you want more details or have any questions?  
Here are five related questions to expand on this:

1. What if Brandon rides 4 miles a day for the next 5 days? How many miles will he exceed or fall short of his goal?
2. If Brandon increases his goal to 30 miles, how many miles would he need to ride each day on average over 5 days?
3. How would the equation change if Brandon had already ridden 10 miles instead of 6?
4. What if Brandon only had 4 days left to meet his goal? How would his average miles per day change?
5. If Brandon plans to ride a different number of miles each day, how could we calculate the total miles he needs to meet his goal?

**Tip**: When solving word problems, clearly define variables and break the problem into smaller steps for easier understanding.

Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine x, the average number of miles he would have to ride each day to meet his goal.

Learn how to solve a linear equation to determine the average number of miles Brandon needs to ride per day to meet his 21-mile goal. This problem involves algebraic concepts and averages, suitable for students in Grades 6-8.

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