Solve for the Unknown
Turn a business target into a simple equation and solve it.
In your head, jot if needed · no calculator why?
Opens at level 8.
Lesson and untimed practice
Read the full lesson and try each skill without a clock. About 3 minutes to read.
skills · practice stats
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How many to hit a revenue target? not tried yet
worked example
Each class seat brings in $1,350. How many class seats produce $68,850 of revenue?
Answer: 51
- Revenue = price × count, so count = $68,850 ÷ $1,350 = 51.
- Check: 51 × $1,350 = $68,850.
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Customers for a profit target not tried yet
worked example
Each customer leaves $380 a month after variable costs. Fixed monthly costs are $5,400. How many whole customers are needed for at least $8,100 of monthly operating profit?
Answer: 36
- Cover fixed costs plus the target: ($5,400 + $8,100) ÷ $380 = $13,500 ÷ $380 ≈ 35.53; round up to 36.
- 35 customers would bring only $13,300, short of the $13,500 needed.
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How much does cost rise? not tried yet
worked example
Total cost is $4,000 plus $100 per job. How much does total cost rise when jobs go from 270 to 360?
Answer: $9,000.00
- Only the per-job part changes: 90 extra jobs × $100 = $9,000.
- The $4,000 is paid once either way.
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Average cost per job not tried yet
worked example
Total cost is $3,000 plus $110 per job. What is the average cost per job at 100 jobs?
Answer: $140.00
- Average = total ÷ jobs = ($3,000 + $110 × 100) ÷ 100 = $14,000 ÷ 100 = $140.
- The fixed part gets shared across more jobs as volume grows.
rest ladder
- 1 day
- 3 days
- 7 days
- 14 days
- 30 days
- 60 days
- mastered · every 90 days