Shawna and Jia worked together to paint a house. Combined

Shawna and Jia worked together to paint a house. Combined they worked for a total of y hours. Before the job started, Shawna paid t dollars to purchase paint and other supplies for the job. When the job was completed, Shawna was given a total of d dollars to pay for the work as well as reimburse her for the supplies. If Shawna worked for x more hours than Jia, how much money should Shawna give to Jia such that Shawna and Jia are each paid the same hourly rate for their work?

A. \(\frac{(d-t)(y-x)}{2y}\)

B. \(\frac{(d-t)}{y}\)

C. \(\frac{(d-x)}{y}-t\)

D. \(\frac{(dx-t)}{2}\)

E. \(\frac{(d-t)(x+y)}{2y}\)

The OA is A

Source: Manhattan Prep