Three students, ailin, david and rashaad, received an innovation award for their ground breaking work on scientific discovery. they have decided to split the award as follows: ailin receives $10,000 plus 1/5 of what then remains; david receives $16,000 plus 1/4 of what then remains, and rashaad then receives the rest, which is $18,000. how much is the original monetary award? which student receives the most money?

The original award is of $66666.67 and David receives the most money.

Step-by-step explanation:

Let us assume that the total prize money is $x.

Now, Ailin receives $10000 plus of what then remains, and David receives $16000 plus of what then remains, and finally Rashaad receives $18000.

So,from the conditions given above we can write  

⇒

⇒

⇒

⇒

⇒ x = $66666.67  

Therefore, Ailin receives  

= $21333.34

And David receives

= $27333.33

The original award is of $66666.67 and David receives the most money. (Answer)

b is the final answer! : )

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation: