Triana 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 of those three days? Write and solve an equation of the form px+q=r . Then write a sentence to explain your answer.(4 points) write as 7th grader

Answer 1

To figure out how far Triana will travel over the remaining three days of her bike ride, we can start by writing down what we know:

1. The total distance of the bike ride is 120 miles.
2. On the first day, she traveled 24 miles.
3. She wants to travel equal amounts over the remaining three days.

First, we need to find out how many miles are left after the first day. We can subtract the miles she traveled on the first day from the total distance:

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

Next, we need to divide the remaining 96 miles equally over the three days. Let's use the variable \( x \) to represent how far she will travel each of the remaining days. Since there are three days, we can write the equation like this:

\[ 3x = 96 \]

Now, we can solve for \( x \) by dividing both sides of the equation by 3:

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

Calculating that:

\[ x = 32 \]

So, Triana will travel 32 miles each day for the remaining three days.

In summary, Triana will travel 32 miles on each of the last three days of her bike ride, making her total distance 120 miles.