dominic is looking over his spending pattern for the past week to try to determine how much money he had on…

dominic is looking over his spending pattern for the past week to try to determine how much money he had on sunday. this is dominics spending pattern:\n| day | debit ($) | credit ($) |\n| ---- | ---- | ---- |\n| monday | 158 | -- |\n| tuesday | 69 | 44 |\n| wednesday | 175 | -- |\n| thursday | 131 | 38 |\n| friday | -- | 53 |\n| saturday | 22 | 14 |\nif the bank charges dominic an overdraft fee of $25 every time he overdraws his account, and dominic over drew his account on thursday but not on saturday, which of the following is a possible amount of money that dominic could have had in his account last sunday? assume that the only debits and credits not listed are overdraft fees.\na. $500\nb. $480\nc. $435\nd. $400
Answer
Explanation:
Step1: Calculate total debits
Add up all debit amounts: $158 + 69+175 + 131+22=555$
Step2: Calculate total credits
Add up all credit amounts: $44 + 38+53 + 14=149$
Step3: Consider overdraft fee
Since he over - drew on Thursday but not on Saturday, the overdraft fee is $25$.
Step4: Set up inequality for Thursday's balance
Let the initial amount on Sunday be $x$. On Thursday, the balance is $x + 149-555-25=x - 431$. Since he over - drew on Thursday, $x-431<0$, so $x < 431$.
Step5: Set up inequality for Saturday's balance
On Saturday, the balance is $x + 149-555=x - 406$. Since he did not over - draw on Saturday, $x-406\geq0$, so $x\geq406$.
Answer:
C. $435$