Answer:
It will take 10 weeks for Roshaun and Keegan to have the same amount of money
Explanation:
The general expression to calculate the amount saved by both Roshaun and Keegan is as follows;
Total amount saved=Initial amount saved+amount saved per week×number of weeks (w)
For Roshaun;
Initial amount saved=$150
Amount saved per week=$10
Number of weeks=w
Replacing in the expression above;
Total amount saved=(150)+(10×w)
Total amount saved by Roshaun after w weeks=(10 w+150)
For Keegan;
Initial amount saved=$0
Amount saved per week=$25
Number of weeks=w
Replacing in the expression above;
Total amount saved=(0)+(25×w)
Total amount saved=(25 w+0)=25 w
Total amount saved by Keegan after w weeks=25 w
To determine the number of weeks it will take for Keegna and Roshaun to have the same amount of money, we equate Roshaun's total savings after w weeks to Keegan's total savings after w weeks and solve:
Total amount saved by Keegan=Total amount saved by Roshaun
25 w=10 w+150
(25 w-10 w)=150
15 w=150
w=150/15
w=10
It will take 10 weeks for Roshaun and Keegan to have the same amount of money