brianna's family is on a trip. so far they have travelled 3/4 of the total distance. they have travelled 120 miles so far. how far is the whole trip

Answer: the whole trip is 160 miles

Step-by-step explanation:

Let x represent the distance of the whole trip.

so far they have travelled 3/4 of the total distance. It means that they have travelled 3/4 * x = 3x/4 miles

they have travelled 120 miles so far. This means that the 3x/4 miles that they have covered so far is equivalent to 120 miles. Therefore

3x/4 = 120

Cross multiplying with 4

3x/4 * 4 = 120 * 4

3x = 480

Dividing both sides of the equation by 3, it becomes

3x/3 = 480/3

x = 160 miles