AlgebraVery hardMonths of spending before a reserve is breached
Algebra practice question
A club's rules say its fund must always stay above $500. The fund holds $2,000 and the club spends $125 from it every month. For how many whole months can the club keep spending at this rate before the rule is broken?
Answer: 11
2,000 − 125m > 500 gives 125m < 1,500, so m < 12: 11 whole months.
Common wrong answers
- If you answered 4
- 4 divides 500 by 125.
- If you answered 12
- After 12 months the fund is exactly $500, which is not above $500.
- If you answered 16
- 16 ignores the $500 floor.
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