Question

Sophia and Scott each open a bank account with an initial deposit of $50 each. Scott planned to save 30% of his earnings from his after-school job. The job pays $8 per hour, and he works 25 hours each week. For four weeks, Sophia saved $45 per week. After that, she saved an additional $30 per week. During which WEEK will they have the same amount of money in their bank accounts?

Answer 1

During the 9th week

Explanation:

Scott: 50 + (0.3)(8×25)t

= 50 + 60t

Sophia: 50 + 45t + 30(t-4)

= -70 + 75t

60t + 50 = 75t - 70

15t = 120

t = 8

After 8 weeks they will have the same amount,

Which is during the 9th week