Question

Betsy has $264 in a personal bank account, and then withdraws $10 per week. Carlos has $16 in a personal bank account, and then deposits $52 earned from tutoring each week. After how many weeks will they have the same amount of money in the bank?

A. 12 weeks
B. 18 weeks
C. 21 weeks
D. 24 weeks

Answer 1

To determine how many weeks it will take for Betsy and Carlos to have the same amount of money in their bank accounts, we set up an equation and solve for the number of weeks. The correct answer is A. 12 weeks.

Step-by-step explanation:

Let's calculate how many weeks it will take for Betsy and Carlos to have the same amount of money in their bank accounts.

For Betsy:

• Initial amount = $264
• Withdrawal amount per week = $10

For Carlos:

• Initial amount = $16
• Deposit amount per week = $52

We can set up a equation to represent the amount of money in their accounts after 'n' weeks:

• Betsy: 264 - 10n
• Carlos: 16 + 52n

To find the number of weeks it will take for them to have the same amount of money, we can set up and solve the following equation:

• 264 - 10n = 16 + 52n
• 48 = 62n
• n = 0.77419355

Rounding up to the nearest whole number, it will take approximately 1 week for them to have the same amount of money in the bank. Therefore, the correct option is A. 12 weeks.