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:

Express the International Business Club's account balance

Using the Algebraic Translation and Linear Equations knowledge points

$$ B_{\text{IBC}} = 250.5 - 35m $$

Express the Future Agricultural Leaders Club's account balance

Using the Algebraic Translation and Linear Equations knowledge points

$$ B_{\text{FALC}} = 300 - 45.25m $$

Set the two balances equal to find when they have the same amount

Using the Linear Equations knowledge point

$$ 250.5 - 35m = 300 - 45.25m $$

Answer:

• (A) \(250.5 + 35m = 300 + 45.25m\)
• (B) \(250.5 - 35m = 300 - 45.25m\) (Correct answer)
• (C) \(250.5m - 35 = 300m - 45.25\)
• (D) \(250.5m + 35 = 300m + 45.25\)