Katherine has $140 in the bank and is saving $6 per week. abbie has $462 in the bank, but is spending at a rate of $10 per week. which equation will determine when they will have the same amount of money in the bank? a). 140 + 6x = 462 + 10x. b). 140 + 6x = 462 - 10x. c). 140 + 10x = 462 - 6x. d). 140 - 6x = 462 + 10x.

Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
                                     140 + 6x = 462 - 10x
Thus, the answer is letter B.