AlgebraMediumLeast number of weeks to reach a savings target
Algebra practice question
Nia has $200 saved and adds $35 each week. What is the least number of whole weeks after which she will have at least $780?
Answer: 17
200 + 35w ≥ 780 → 35w ≥ 580 → w ≥ 16.57. The least whole number of weeks is 17.
Common wrong answers
- If you answered 16
- After 16 weeks she has $760, short of $780.
- If you answered 22
- 22 comes from 780 ÷ 35, ignoring the $200 already saved.
- If you answered 580
- 580 is the amount still needed, in dollars, not weeks.
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