parkhydel
Next month, Ron and Cathy will each begin working part-time at 3/5 of their respective current salaries. If the sum of their reduced salaries will be equal to Cathy's current salary, then Ron's current salary is what fraction of Cathy's current salary?
A. 1/3
B. 2/5
C. 1/2
D. 3/5
E. 2/3
PS39680.02
Let R = Ron's CURRENT salary
Let C = Cathy's CURRENT salary
So, (3/5)R = Ron's PART-TIME salary
And (3/5)C = Cathy's PART-TIME salary
If the sum of their reduced salaries will be equal to Cathy's current salaryIn other words: (the sum of their PART-TIME salaries) = Cathy's CURRENT salary
Replace values to get: (3/5)R + (3/5)C = C
In other words: 3R/5 + 3C/5 = 5
Multiply both sides of the equation by 5 to get: 3R + 3C = 5C
Subtract 3C from both sides to get:
3R = 2C Ron's current salary is what fraction of Cathy's current salary?In other words, we want the value of R/C
Take:
3R = 2CDivide both sides by 3 to get: R = 2C/3
Divide both sides by C to get: R/C = 2/3
Answer: E
Cheers,
Brent
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