AlgebraMediumLeast number of sales to exceed a target after costs
Algebra practice question
A club sells raffle tickets for $3 each and pays $80 for prizes. What is the least number of tickets the club must sell so that its takings, after paying for the prizes, are more than $500?
Answer: 194
3t − 80 > 500 → 3t > 580 → t > 193.33. The least whole number is 194.
Common wrong answers
- If you answered 140
- 140 comes from 3t > 500 − 80.
- If you answered 167
- 167 comes from 3t > 500, ignoring the prizes.
- If you answered 193
- 193 tickets give 579 − 80 = 499, not more than 500.
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