Jaymie opened a savings account with 595.25. every week she withdrawals 27.50 from her account. steve opened a savings account with 147.25. every week he deposits 23.70 into his account. in about how many weeks will their savings in the bank be equal? choose the most reasonable estimate.
a:7 weeks
b: 9 weeks
c:10 weeks
d:15 weeks
To find out when their savings will be equal, we set up the following equation:
595.25 - 27.50x = 147.25 + 23.70x
Now we solve for x, the number of weeks:
595.25 - 147.25 = 27.50x + 23.70x
448 = 51.20x
x ≈ 8.76
Therefore, the most reasonable estimate is 9 weeks (option b).