Question

Create an equation to calculate how much Arbaz will need to earn on his own to purchase his car if his mom agrees to match every dollar he earns? Include the amount Arbaz has in savings. Explain your answer.

Answer 1

To determine the amount Arbaz needs to earn to purchase his car with his mom's matching contributions, we use the equation E = (C - S) / 2, where 'C' is the cost of the car, 'S' is Arbaz's savings, and 'E' is the amount he needs to earn.

Step-by-step explanation:

To calculate how much Arbaz will need to earn on his own to purchase his car, given that his mom will match every dollar he earns, we can set up an equation representing this situation. Assuming Arbaz currently has a certain amount in savings, let's denote that as 'S' (for savings). Let 'C' be the total cost of the car, and 'E' be the amount Arbaz needs to earn on his own. The mom will match every dollar Arbaz earns, so the total amount available to purchase the car will be 'E + E' (Arbaz's earnings plus mom's matching amount). Including Arbaz's savings, the total amount becomes 'S + E + E'. This total amount must be equal to the cost of car 'C'. So, we can write the equation as S + 2E = C. If we know the cost of the car and the amount in Arbaz's savings, we can solve for 'E' by rearranging the equation to E = (C - S) / 2. This equation will give us the amount Arbaz needs to earn on his own in order to purchase the car along with his mom's matching contribution.