Answer: Fred worked for 26 hours last week
Step-by-step explanation:
Fred and Sara work as part-time employees for a lawyer.
Let x represent the total number of hours that Fred worked last week.
Let y represent the total number of hours that Sara worked last week.
Last week Fred worked 4 hours more than twice the number of hours Sara worked. This means that
x = 2y + 4
Together they worked a total of 37 hours. It means that
x + y = 37 - - - - - --- -1
Substituting x = 2y + 4 into equation 1, it becomes
2y + 4 + y = 37
2y + y = 37 - 4
3y = 33
y = 33/3 = 11
x = 37 - y
x = 37 - 11 = 26
