Answer to Question #102164 in Algebra for morgan miller

Question

The orange marble is closer to the target than the white marble. The purple marble is farther from the target than the white marble but closer to the target than the yellow marble. The purple marble is farther from the target than the orange marble. Which marble is closer to the target, the yellow marble or the orange marble?

Answer 1

According to the question, there are four marbles: orange, white, purple and yellow. Let's set target as 0 and each marble will correspond to numbers 1-4 (with 1 as the closest to the target and 4 as the farthest).

Thus, the bigger the number, the farther the marble.

If orange is closer than white (and we do not have information about other ones), let's set orange as 1 and white as 2.

The purple marble is farther from the target than the white marble, so let's set the purple marble as 3.

The purple marble is closer to the target than the yellow marble, so yellow is farther (and the number is bigger), so let's set yellow as 4.

For now, we have set numbers for each marble. Let's see and test if they are correct:

target <- orange <- white <- purple <- yellow.

"The purple marble is farther from the target than the orange marble." - we may see that it is true.

So, comparing yellow and orange marbles, orange one is closer.