Question

Oliver and Marie open bank accounts at the same
time. Oliver deposits $300 initially and adds $10
per week. Marie deposits $200 initially and adds
$20 per week. After how many weeks of making
additional deposits will Oliver and Marie have the
same amount of money in the account?
A. 10 weeks
C. 40 weeks
B. 2 weeks
D. 30 weeks

Answer 1

Answer:

A. 10 weeks

Step-by-step explanation:

Oliver  Marie

Starting 300  200

week 1 310  220

week 2 320  240

week 3 330  260

week 4 340  280

week 5 350  300

week 6 360  320

week 7 370  340

week 8 380  360

week 9 390  380

week 10 400  400

Answer 2

9514 1404 393

Answer:

  A. 10 weeks

Step-by-step explanation:

Marie's balance is initially $100 less, but she deposits $10 more per week than Oliver does. It will take her 100/10 = 10 weeks to catch up to Oliver's balance.

Oliver and Marie will have the same balance after 10 weeks.

__

Oliver's balance at that time will be 300 +10×10 = 400.

Marie's balance at that time will be 200 +10×20 = 400. (the same)