Question

Jada and Christian are each saving money. Jada starts with $400 in her savings account and adds $15 per week. Christian starts with $250 in his

savings account and adds $25 each week.
After how many weeks will Jada and Christian have the same amount of money in their savings accounts?
A - 5 weeks
B- 10 weeks
C- 15 weeks
D- 20 weeks

Answer 1

Answer: B. -10 weeks

Step-by-step explanation: You start by writing the equation:

400 + 15w = 250 + 25w

Then you solve.

First, you subtract 15w on both sides of the equation and end up with 15w;

400 + 15w = 250 + 25w

- 15w -15w

400 = 250 + 15

Second, you subtract 400 from both sides of the equation and end up with -150;

400 + 15w = 250 + 25w

- 15w -15w

400 + 15w = 250

- 400 - 400

15w = -150

Lastly, you divide 15 from both sides of the equation (canceling out 15, leaving the w) and get -10;

400 - 15w = 250

-400 -400

15w = -150

/15 /15

w = -10