Answer:
6 weeks
Explanation:
Given that :
Nikki :
Initial amount = $1100 ;
Amount spent per week = $35
Mich:
Initial amount = $520
Amount saved per week = $55
Number of weeks they'll both have the same amount :
Let number of weeks = w
For Nikki who is spending :
1100 - 35w - - - (1)
For Mich who is saving :
520 + 55w - - - (2)
Equate (1) and (2)
1100 - 35w = 520 + 55w
1100 - 520 = 55w + 35w
580 = 90w
w = 580 / 90
w = 6.444
About 6 weeks