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Next month, Ron and Cathy will each begin working part-time at 3/5

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Next month, Ron and Cathy will each begin working part-time at 3/5

by BTGModeratorVI » Tue Dec 15, 2020 6:51 am

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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

Answer: E
Source: official guide
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Re: Next month, Ron and Cathy will each begin working part-time at 3/5

by Brent@GMATPrepNow » Sat Dec 19, 2020 6:15 am
BTGModeratorVI wrote: ↑
Tue Dec 15, 2020 6:51 am
 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

Answer: E
Source: official guide
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 salary
In 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 = 2C
Divide both sides by 3 to get: R = 2C/3
Divide both sides by C to get: R/C = 2/3

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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