Problema Solution
One month, ruby worked 6 hours more than isaac, and stephanie worked 4 times as many hours as ruby. together they worked 126 hours. Find the number of hours each person worked.
Answer provided by our tutors
Let
x = the hours Ruby worked
y = the hours Isaac worked
z = the hours Stephanie worked
Ruby worked 6 hours more than Isaac:
x = 6 + y
Stephanie worked 4 times as many hours as Ruby:
z = 4x
Together they worked 126 hours:
x + y + z = 126
We have the following system of equations:
x = 6 + y
z = 4x
x + y + z = 126
........
click here to see the system of equations solved for x, y and z
........
x = 22 hr
y = 16 hr
z = 88 hr
Ruby worked 22 hours.
Isaac worked 16 hours.
Stephanie worked 88 hours.