Roshaun has saved $150 and continues to add $10 each week. keegan starts with $0 and saves $25 each week. in how many weeks will they have the same amount of money

It will take 10 weeks for Roshaun and Keegan to have the same amount of money

Step-by-step 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