Question

Problem Solving with Integers a. You are a first-year lifeguard at Rockaway Beach and earn 603 dollars per week. On August 28 you deposited a week's pay into your checking account. The balance of your account before the deposit was 39 dollars. What is the new balance? b. Your 660 dollars monthly rent is due on September 1. So on September 1 you write and record a 660 dollars check. What is the new balance? c. On September 4 you deposit your 603 dollars paycheck. What is the new balance? d. You write a 600 dollars check on September 5 for your first installment on your college bill for the fall term. What is your new balance? e. You write a check for groceries on September 10 in the amount of 78 dollars. What is your new balance? f. You deposit your last lifeguard paycheck on September 11. What is your new balance?

Short answer

Answer: 510 dollars

Step-by-step solution

a. Deposit on August 28

To find the new balance after depositing a week's pay, add the week's pay (603 dollars) to the current balance (39 dollars): New balance = 39 + 603 = 642 dollars.

b. Rent payment on September 1

To find the new balance after paying the rent, subtract the rent amount (660 dollars) from the current balance (642 dollars): New balance = 642 - 660 = -18 dollars.

c. Deposit on September 4

To find the new balance after depositing the paycheck, add the paycheck amount (603 dollars) to the current balance (-18 dollars): New balance = -18 + 603 = 585 dollars.

d. College bill payment on September 5

To find the new balance after paying the college bill, subtract the college bill amount (600 dollars) from the current balance (585 dollars): New balance = 585 - 600 = -15 dollars.

e. Grocery payment on September 10

To find the new balance after paying for groceries, subtract the grocery amount (78 dollars) from the current balance (-15 dollars): New balance = -15 - 78 = -93 dollars.

f. Lifeguard paycheck deposit on September 11

To find the new balance after depositing the last lifeguard paycheck, add the paycheck amount (603 dollars) to the current balance (-93 dollars): New balance = -93 + 603 = 510 dollars.