Answer: 32 miles
Step-by-step explanation:
x = amount she travels on each of those three remaining days
3x = total amount traveled over those three remaining days
3x+24 = total amount traveled over the four days
3x+24 = 120 miles total
This equation is in the form px+q = r where:
Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.
3x+24 = 120
3x+24-24 = 120-24 .... subtract 24 from both sides
3x = 96
3x/3 = 96/3 .... divide both sides by 3
x = 32
Triana must travel 32 miles per day for those remaining three days.
Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.
Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.