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If 60 percent of teachers are equal to 40 percent of doctors what percent of teachers is to the number of doctors?
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If 60 percent of teachers are equal to 40 percent of doctors what perc...
Understanding the Problem
To solve the problem, we need to establish a relationship between the number of teachers and doctors based on the given percentages.
Given Information
- 60% of teachers = 40% of doctors
Setting Up the Equation
Let:
- T = Number of teachers
- D = Number of doctors
According to the problem:
- 0.60T = 0.40D
To find the relationship between T and D, we can rearrange the equation:
Rearranging the Equation
- 0.60T = 0.40D
- Dividing both sides by 0.40 gives:
(0.60/0.40)T = D
- This simplifies to:
1.5T = D
Finding the Percentage
Now, we need to express the number of teachers (T) as a percentage of the number of doctors (D). From the equation D = 1.5T, we can express T in terms of D:
- T = D / 1.5
- To find the percentage of teachers to doctors:
(T / D) * 100 = (1 / 1.5) * 100
Calculating the Final Percentage
- (1 / 1.5) * 100 = 66.67%
Conclusion
Thus, the percentage of teachers to the number of doctors is approximately:
- 66.67% of doctors are equivalent to the number of teachers.
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