Trina is on a 120- mile four -day bike ride. On the first day she travels 24 miles She would like to travel equal amounts over the remaining three days. How far will she travel on each those three days? Write and solve an equation of the form px + q = r Then write a sentence to explain ur answer

Answer 1

Let's denote the distance Trina wants to travel each of the remaining three days as \( x \).

She has already traveled 24 miles on the first day, and the total distance of the bike ride is 120 miles. Therefore, the distance left to travel after the first day is:

\[ 120 - 24 = 96 \text{ miles} \]

Since she wants to travel equal amounts over the remaining three days, we can write the equation based on this information:

\[ 3x = 96 \]

Where:

• \( p = 3 \)
• \( q = 0 \) (there's no constant term added in this case)
• \( r = 96 \)

Now, we can solve for \( x \):

1. Divide both sides of the equation by 3:

\[ x = \frac{96}{3} \]

2. Calculate \( x \):

\[ x = 32 \]

So, Trina will travel 32 miles on each of the remaining three days.

Conclusion:

Trina will travel 32 miles each day for the next three days to complete her 120-mile bike ride.