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 $45.75 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 + 45.75m 250.5 - 35m = 300 - 45.75m 250.5m - 35 = 300m - 45.75 250.5m + 35 = 300m + 45.75

Explanation:

Step1: Analyze the initial amounts and spending per month

The International Business Club starts with $105.50 and spends $6 per month. So after \(x\) months, the remaining amount is \(105.50 - 6x\).
The Future Future International Leaders Club starts with $90 and spends $4.75 per month. So after \(x\) months, the remaining amount is \(90 - 4.75x\).

Step2: Set up the equation for when the remaining amounts are equal

We want to find when the remaining amounts of money are the same. So we set the two expressions equal to each other: \(105.5 - 6x=90 - 4.75x\)

Answer:

\(105.5 - 6x = 90 - 4.75x\) (the second option)