Let's assume Triana travels the same distance each day after the first day, and let's call that distance x. Therefore, on the second day, she will travel x miles, on the third day, she will travel x miles again, and on the fourth day, she will travel x miles once more.
The total distance she will travel in the four days is the sum of the distance she traveled on the first day (24 miles) and the distance she will travel on the remaining three days (3x miles). We can express this using the equation:
24 + 3x = 120
To solve for x, we need to isolate it on one side of the equation. Subtracting 24 from both sides gives:
3x = 120 - 24
3x = 96
Now, we can solve for x by dividing both sides by 3:
3x/3 = 96/3
x = 32
Therefore, Triana will travel 32 miles each day on the second, third, and fourth days of her bike ride.
...................................................................................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.
5 answers
u sure
Yes, I'm sure. Based on the given information and the equation we set up, the solution is x = 32. This means Triana will travel 32 miles on each of the remaining three days of her bike ride.
why are you simplifying
I apologize for the confusion. Simplifying the equation is not necessary in this case because x represents the distance Triana will travel on each of the remaining three days. The equation 3x = 96 directly shows that the total distance Triana will travel on those days is equal to 96 miles. Therefore, we can conclude that she will travel 32 miles on each of the remaining three days without further simplification.
1 answer