Let’s solve this step by step.
We are told:
- When Jane works
with an assistant, she makes
80% more bears per week than when she works alone.
- She also works
10% fewer hours per week when she has an assistant.
- We are to find:
By what percent does her output per hour increase?
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Step 1: Assume base values for easier calculation
Let’s assume that
without an assistant, Jane makes
100 bears per week and works
100 hours per week.
→ So, her
output per hour without assistant = 100 bears / 100 hours =
1 bear per hour
---
Step 2: Calculate with assistant
With assistant:
- Bears per week = 80% more → 100 + 80% of 100 =
180 bears per week
- Hours worked = 10% fewer → 100 - 10% of 100 =
90 hours per week
→ So, her
output per hour with assistant = 180 bears / 90 hours =
2 bears per hour
---
Step 3: Find the percent increase in output per hour
Original output per hour:
1
New output per hour:
2
Increase = 2 - 1 =
1
Percent increase = (Increase / Original) × 100% = (1 / 1) × 100% =
100%
---
✔ Final Answer:
(C) 100%
Parent Tip: Review the logic above to help your child master the concept of math percentage problems.
