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.
p x +,q = r
p * 3 + 24 = 120
3 p = 96
p = 32 miles / day
32 miles/day * remaining days = total - amount already done
To solve the problem, we can set up an equation of the form px + q = r.
Let's assume Triana travels x miles each day for the remaining three days.
On the first day, Triana traveled 24 miles, which is equal to px because she traveled x miles for the remaining three days.
Therefore, our equation is 24 + 3x = 120, where 3x represents the total distance traveled on the remaining three days.
To solve for x, subtract 24 from both sides of the equation:
3x = 120 - 24
3x = 96
Now, divide both sides of the equation by 3 to solve for x:
x = 96/3
x = 32
So, Triana will travel 32 miles each day for the remaining three days.
To solve this problem, we can first determine the number of miles Triana needs to travel on each of the remaining three days. Let's call the distance she travels on each of those three days "x".
From the given information, we know that Triana traveled 24 miles on the first day and will complete a total of 120 miles in four days. Since she wants to travel equal amounts over the remaining three days, the total distance traveled on those three days will be 3x (as she travels "x" miles each day).
Now, we can set up an equation to represent the situation:
24 + 3x = 120
To solve this equation, we need to isolate the variable "x". First, subtract 24 from both sides of the equation:
3x = 120 - 24
3x = 96
Next, divide both sides of the equation by 3:
x = 96/3
x = 32
Therefore, Triana will travel 32 miles on each of the three remaining days.
In equation form, the solution is:
3x + 24 = 120, where x = 32
In sentence form, the answer is:
Triana will travel 32 miles on each of the three remaining days.
shorter
Well, Triana seems to be having a wheelie good time on her bike ride! Let's solve this equation and find out how far she'll travel each day.
Let's say Triana travels x miles on each of the remaining three days. So, the total distance she travels on those three days would be 3x miles.
Given that the total distance of the bike ride is 120 miles, we can form the equation:
24 + 3x = 120
To isolate the variable, let's subtract 24 from both sides of the equation:
3x = 120 - 24
3x = 96
Now, we can solve for x by dividing both sides of the equation by 3:
x = 96/3
x = 32
Therefore, Triana will travel 32 miles on each of the remaining three days of her bike ride.
In summary, we've solved the equation 24 + 3x = 120 and found that Triana will travel 32 miles on each of the three remaining days. That's definitely a wheely impressive distance!