Question 562378
Maya and Kavitha each were paid m dollars in advance to do a certain job together.
Maya worked on a job for 20 hrs and Kavitha worked 4hrs less than Maya.
 If Kavitha gave Maya n dollars of payment so that they would receive the same hourly wage, what was the dollar amount in terms of n that Maya was paid in advance
:
{{{m/20}}} = M's hourly wage
{{{m/16}}} = K's hourly wage
:
Understand that K gives M n dollars to equalize the hourly wage, therefore
{{{(m+n)/20}}} = {{{(m-n)/16}}}
Cross multiply
20(m-n) = 16(m+n)
20m - 20n = 16m + 16n
20m - 16m = 16n + 20n
4m = 36n
Divide both sides by 4
m = 9n dollars paid each in advance