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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
Step1: Analyze International Business Club's money - balance
The International Business Club starts with $250.50 and spends $35 each month. So after $m$ months, the amount of money left in their account is $250.50−35m$.
Step2: Analyze Future Agricultural Leaders Club's money - balance
The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month. So after $m$ months, the amount of money left in their account is $300 - 45.25m$.
Step3: Set up the equation for equal - balances
We want to find when the two accounts have the same amount of money. So we set the two expressions equal to each other: $250.5−35m=300−45.25m$.
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$250.5 - 35m = 300 - 45.25m$ (corresponding to the second option in the multiple - choice question)