Question

the international business club starts the school year with $250.50 in their account. they spend $35 each month on activities. the future agricultural leaders club starts with $300 and spends $45.25 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
○ 250.5 + 35m = 300 + 45.25m
○ 250.5 − 35m = 300 − 45.25m
○ 250.5m − 35 = 300m − 45.25
○ 250.5m + 35 = 300m + 45.25

Explanation:

Step1: Analyze International Business Club's account

The club starts with $250.50 and spends $35 each month. So after \( m \) months, the amount of money left is the initial amount minus the total spent. The total spent in \( m \) months is \( 35m \), so the amount is \( 250.5 - 35m \).

Step2: Analyze Future Agricultural Leaders Club's account

This club starts with $300 and spends $45.25 each month. After \( m \) months, the amount left is the initial amount minus the total spent. The total spent in \( m \) months is \( 45.25m \), so the amount is \( 300 - 45.25m \).

Step3: Set the two amounts equal

We want to find when both accounts have the same amount, so we set the two expressions equal to each other: \( 250.5 - 35m = 300 - 45.25m \).

Answer:

\( 250.5 - 35m = 300 - 45.25m \) (the second option)