Question

1. write an equation to represent the situation. do not solve

henry has $50 in his bank account. he plans on depositing $10 each week from the money he earns for walking dogs. john has $75 on his venmo card. he withdraws $9 each week to pay for a ticket to the school basketball game and snacks. in how many weeks will henry and john have the same amount of money?

Explanation:

Step1: Define variable

Let \( w \) be the number of weeks.

Step2: Henry's money equation

Henry starts with $50 and deposits $10 each week, so his money after \( w \) weeks is \( 50 + 10w \).

Step3: John's money equation

John starts with $75 and withdraws $9 each week, so his money after \( w \) weeks is \( 75 - 9w \).

Step4: Set equal for same amount

To find when they have the same amount, set the two expressions equal: \( 50 + 10w = 75 - 9w \).

Answer:

\( 50 + 10w = 75 - 9w \)