Question

Alice's account balance is currently $12, and she deposits $10 every week. Bob's account balance is currently $22, and he deposits $7.50 every week. After how many weeks will Alice and Bob have the same account balance?

a) 1 week
b) 2 weeks
c) 4 weeks
d) 9 weeks

Answer 1

c) 4 weeks. Alice and Bob will have the same account balance after 4 weeks.

Step-by-step explanation:

Alice's account balance is currently $12, and she deposits $10 every week. Bob's account balance is currently $22, and he deposits $7.50 every week.

To find the number of weeks after which Alice and Bob will have the same account balance, we can set up an equation:

Alice’s account balance = Bob’s account balance

$12 + $10w = $22 + $7.50w

Where w is the number of weeks.

Now we can solve the equation:

$10w - $7.50w = $22 - $12

$2.50w = $10

w = $10 / $2.50

w = 4 weeks

Therefore, Alice and Bob will have the same account balance after 4 weeks. So the correct answer is option c) 4 weeks.